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Finding the Third Proportional to 4,069,569 and 6,298,494

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Solution

The third proportional to 4,069,569 and 6,298,494 is: 9,748,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069,569 : 6,298,494 = 6,298,494 : x
  2. Step 2: Convert to fraction form
    4,069,569/6,298,494 = 6,298,494/x
  3. Step 3: Cross multiply
    4,069,569x = 6,298,494 × 6,298,494
  4. Step 4: Simplify right side
    4,069,569x = 39,671,026,668,036
  5. Step 5: Solve for x
    x = 39,671,026,668,036/4,069,569
  6. Step 6: Final answer
    x = 9,748,213.30

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Why These Related Problems?

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