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Finding the Third Proportional to 698,519 and 1,024,776

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Solution

The third proportional to 698,519 and 1,024,776 is: 1,503,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,519 : 1,024,776 = 1,024,776 : x
  2. Step 2: Convert to fraction form
    698,519/1,024,776 = 1,024,776/x
  3. Step 3: Cross multiply
    698,519x = 1,024,776 × 1,024,776
  4. Step 4: Simplify right side
    698,519x = 1,050,165,850,176
  5. Step 5: Solve for x
    x = 1,050,165,850,176/698,519
  6. Step 6: Final answer
    x = 1,503,417.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.