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Finding the Third Proportional to 4,125,792 and 6,307,298

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Solution

The third proportional to 4,125,792 and 6,307,298 is: 9,642,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125,792 : 6,307,298 = 6,307,298 : x
  2. Step 2: Convert to fraction form
    4,125,792/6,307,298 = 6,307,298/x
  3. Step 3: Cross multiply
    4,125,792x = 6,307,298 × 6,307,298
  4. Step 4: Simplify right side
    4,125,792x = 39,782,008,060,804
  5. Step 5: Solve for x
    x = 39,782,008,060,804/4,125,792
  6. Step 6: Final answer
    x = 9,642,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.