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Finding the Third Proportional to 698,480 and 1,034,624

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Solution

The third proportional to 698,480 and 1,034,624 is: 1,532,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,480 : 1,034,624 = 1,034,624 : x
  2. Step 2: Convert to fraction form
    698,480/1,034,624 = 1,034,624/x
  3. Step 3: Cross multiply
    698,480x = 1,034,624 × 1,034,624
  4. Step 4: Simplify right side
    698,480x = 1,070,446,821,376
  5. Step 5: Solve for x
    x = 1,070,446,821,376/698,480
  6. Step 6: Final answer
    x = 1,532,537.54

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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.