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Finding the Third Proportional to 2,854,540 and 4,174,646

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Solution

The third proportional to 2,854,540 and 4,174,646 is: 6,105,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,540 : 4,174,646 = 4,174,646 : x
  2. Step 2: Convert to fraction form
    2,854,540/4,174,646 = 4,174,646/x
  3. Step 3: Cross multiply
    2,854,540x = 4,174,646 × 4,174,646
  4. Step 4: Simplify right side
    2,854,540x = 17,427,669,225,316
  5. Step 5: Solve for x
    x = 17,427,669,225,316/2,854,540
  6. Step 6: Final answer
    x = 6,105,246.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.