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Finding the Third Proportional to 713,220.19 and 1,681,966.27

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Solution

The third proportional to 713,220.19 and 1,681,966.27 is: 3,966,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,220.19 : 1,681,966.27 = 1,681,966.27 : x
  2. Step 2: Convert to fraction form
    713,220.19/1,681,966.27 = 1,681,966.27/x
  3. Step 3: Cross multiply
    713,220.19x = 1,681,966.27 × 1,681,966.27
  4. Step 4: Simplify right side
    713,220.19x = 2,829,010,518,700.51
  5. Step 5: Solve for x
    x = 2,829,010,518,700.51/713,220.19
  6. Step 6: Final answer
    x = 3,966,531.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.