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Finding the Third Proportional to 716,914.13 and 1,564,258.50

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Solution

The third proportional to 716,914.13 and 1,564,258.50 is: 3,413,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,914.13 : 1,564,258.50 = 1,564,258.50 : x
  2. Step 2: Convert to fraction form
    716,914.13/1,564,258.50 = 1,564,258.50/x
  3. Step 3: Cross multiply
    716,914.13x = 1,564,258.50 × 1,564,258.50
  4. Step 4: Simplify right side
    716,914.13x = 2,446,904,654,822.25
  5. Step 5: Solve for x
    x = 2,446,904,654,822.25/716,914.13
  6. Step 6: Final answer
    x = 3,413,107.05

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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.