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Finding the Third Proportional to 678,051 and 1,050,564

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Solution

The third proportional to 678,051 and 1,050,564 is: 1,627,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,051 : 1,050,564 = 1,050,564 : x
  2. Step 2: Convert to fraction form
    678,051/1,050,564 = 1,050,564/x
  3. Step 3: Cross multiply
    678,051x = 1,050,564 × 1,050,564
  4. Step 4: Simplify right side
    678,051x = 1,103,684,718,096
  5. Step 5: Solve for x
    x = 1,103,684,718,096/678,051
  6. Step 6: Final answer
    x = 1,627,731.13

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