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Finding the Third Proportional to 637,724.50 and 1,387,545.50

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Solution

The third proportional to 637,724.50 and 1,387,545.50 is: 3,018,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,724.50 : 1,387,545.50 = 1,387,545.50 : x
  2. Step 2: Convert to fraction form
    637,724.50/1,387,545.50 = 1,387,545.50/x
  3. Step 3: Cross multiply
    637,724.50x = 1,387,545.50 × 1,387,545.50
  4. Step 4: Simplify right side
    637,724.50x = 1,925,282,514,570.25
  5. Step 5: Solve for x
    x = 1,925,282,514,570.25/637,724.50
  6. Step 6: Final answer
    x = 3,018,987.85

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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.