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Finding the Third Proportional to 722,918 and 1,570,457

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Solution

The third proportional to 722,918 and 1,570,457 is: 3,411,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,918 : 1,570,457 = 1,570,457 : x
  2. Step 2: Convert to fraction form
    722,918/1,570,457 = 1,570,457/x
  3. Step 3: Cross multiply
    722,918x = 1,570,457 × 1,570,457
  4. Step 4: Simplify right side
    722,918x = 2,466,335,188,849
  5. Step 5: Solve for x
    x = 2,466,335,188,849/722,918
  6. Step 6: Final answer
    x = 3,411,638.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.