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Finding the Third Proportional to 698,458 and 1,034,595

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Solution

The third proportional to 698,458 and 1,034,595 is: 1,532,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,458 : 1,034,595 = 1,034,595 : x
  2. Step 2: Convert to fraction form
    698,458/1,034,595 = 1,034,595/x
  3. Step 3: Cross multiply
    698,458x = 1,034,595 × 1,034,595
  4. Step 4: Simplify right side
    698,458x = 1,070,386,814,025
  5. Step 5: Solve for x
    x = 1,070,386,814,025/698,458
  6. Step 6: Final answer
    x = 1,532,499.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.