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Finding the Third Proportional to 713,265 and 1,554,473

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Solution

The third proportional to 713,265 and 1,554,473 is: 3,387,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,265 : 1,554,473 = 1,554,473 : x
  2. Step 2: Convert to fraction form
    713,265/1,554,473 = 1,554,473/x
  3. Step 3: Cross multiply
    713,265x = 1,554,473 × 1,554,473
  4. Step 4: Simplify right side
    713,265x = 2,416,386,307,729
  5. Step 5: Solve for x
    x = 2,416,386,307,729/713,265
  6. Step 6: Final answer
    x = 3,387,781.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.