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Finding the Third Proportional to 794,068,449 and 1,201,315,457.25

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Solution

The third proportional to 794,068,449 and 1,201,315,457.25 is: 1,817,423,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,068,449 : 1,201,315,457.25 = 1,201,315,457.25 : x
  2. Step 2: Convert to fraction form
    794,068,449/1,201,315,457.25 = 1,201,315,457.25/x
  3. Step 3: Cross multiply
    794,068,449x = 1,201,315,457.25 × 1,201,315,457.25
  4. Step 4: Simplify right side
    794,068,449x = 1,443,158,827,827,776,512
  5. Step 5: Solve for x
    x = 1,443,158,827,827,776,512/794,068,449
  6. Step 6: Final answer
    x = 1,817,423,711.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.