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Finding the Third Proportional to 841,222.13 and 1,269,545.06

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Solution

The third proportional to 841,222.13 and 1,269,545.06 is: 1,915,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,222.13 : 1,269,545.06 = 1,269,545.06 : x
  2. Step 2: Convert to fraction form
    841,222.13/1,269,545.06 = 1,269,545.06/x
  3. Step 3: Cross multiply
    841,222.13x = 1,269,545.06 × 1,269,545.06
  4. Step 4: Simplify right side
    841,222.13x = 1,611,744,665,718.13
  5. Step 5: Solve for x
    x = 1,611,744,665,718.13/841,222.13
  6. Step 6: Final answer
    x = 1,915,956.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.