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Finding the Third Proportional to 678,038.34 and 1,050,545.95

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Solution

The third proportional to 678,038.34 and 1,050,545.95 is: 1,627,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,038.34 : 1,050,545.95 = 1,050,545.95 : x
  2. Step 2: Convert to fraction form
    678,038.34/1,050,545.95 = 1,050,545.95/x
  3. Step 3: Cross multiply
    678,038.34x = 1,050,545.95 × 1,050,545.95
  4. Step 4: Simplify right side
    678,038.34x = 1,103,646,799,627.31
  5. Step 5: Solve for x
    x = 1,103,646,799,627.31/678,038.34
  6. Step 6: Final answer
    x = 1,627,705.59

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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.