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Finding the Third Proportional to 713,172 and 1,681,840

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Solution

The third proportional to 713,172 and 1,681,840 is: 3,966,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,172 : 1,681,840 = 1,681,840 : x
  2. Step 2: Convert to fraction form
    713,172/1,681,840 = 1,681,840/x
  3. Step 3: Cross multiply
    713,172x = 1,681,840 × 1,681,840
  4. Step 4: Simplify right side
    713,172x = 2,828,585,785,600
  5. Step 5: Solve for x
    x = 2,828,585,785,600/713,172
  6. Step 6: Final answer
    x = 3,966,204.21

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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.