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Finding the Third Proportional to 661,457.29 and 1,402,396.14

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Solution

The third proportional to 661,457.29 and 1,402,396.14 is: 2,973,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,457.29 : 1,402,396.14 = 1,402,396.14 : x
  2. Step 2: Convert to fraction form
    661,457.29/1,402,396.14 = 1,402,396.14/x
  3. Step 3: Cross multiply
    661,457.29x = 1,402,396.14 × 1,402,396.14
  4. Step 4: Simplify right side
    661,457.29x = 1,966,714,924,283.82
  5. Step 5: Solve for x
    x = 1,966,714,924,283.82/661,457.29
  6. Step 6: Final answer
    x = 2,973,306.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.