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Finding the Third Proportional to 698,484 and 1,034,630

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Solution

The third proportional to 698,484 and 1,034,630 is: 1,532,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,484 : 1,034,630 = 1,034,630 : x
  2. Step 2: Convert to fraction form
    698,484/1,034,630 = 1,034,630/x
  3. Step 3: Cross multiply
    698,484x = 1,034,630 × 1,034,630
  4. Step 4: Simplify right side
    698,484x = 1,070,459,236,900
  5. Step 5: Solve for x
    x = 1,070,459,236,900/698,484
  6. Step 6: Final answer
    x = 1,532,546.54

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Why These Related Problems?

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