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Finding the Third Proportional to 2,210,905.13 and 4,687,545.94

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Solution

The third proportional to 2,210,905.13 and 4,687,545.94 is: 9,938,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,905.13 : 4,687,545.94 = 4,687,545.94 : x
  2. Step 2: Convert to fraction form
    2,210,905.13/4,687,545.94 = 4,687,545.94/x
  3. Step 3: Cross multiply
    2,210,905.13x = 4,687,545.94 × 4,687,545.94
  4. Step 4: Simplify right side
    2,210,905.13x = 21,973,086,916,172.75
  5. Step 5: Solve for x
    x = 21,973,086,916,172.75/2,210,905.13
  6. Step 6: Final answer
    x = 9,938,502.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.