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Finding the Third Proportional to 1,070,545.50 and 1,659,602.25

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Solution

The third proportional to 1,070,545.50 and 1,659,602.25 is: 2,572,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,545.50 : 1,659,602.25 = 1,659,602.25 : x
  2. Step 2: Convert to fraction form
    1,070,545.50/1,659,602.25 = 1,659,602.25/x
  3. Step 3: Cross multiply
    1,070,545.50x = 1,659,602.25 × 1,659,602.25
  4. Step 4: Simplify right side
    1,070,545.50x = 2,754,279,628,205.06
  5. Step 5: Solve for x
    x = 2,754,279,628,205.06/1,070,545.50
  6. Step 6: Final answer
    x = 2,572,781.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.