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Finding the Third Proportional to 653,386.50 and 1,406,862

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Solution

The third proportional to 653,386.50 and 1,406,862 is: 3,029,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,386.50 : 1,406,862 = 1,406,862 : x
  2. Step 2: Convert to fraction form
    653,386.50/1,406,862 = 1,406,862/x
  3. Step 3: Cross multiply
    653,386.50x = 1,406,862 × 1,406,862
  4. Step 4: Simplify right side
    653,386.50x = 1,979,260,687,044
  5. Step 5: Solve for x
    x = 1,979,260,687,044/653,386.50
  6. Step 6: Final answer
    x = 3,029,234.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.