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Finding the Third Proportional to 4,127,969 and 6,070,617

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Solution

The third proportional to 4,127,969 and 6,070,617 is: 8,927,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127,969 : 6,070,617 = 6,070,617 : x
  2. Step 2: Convert to fraction form
    4,127,969/6,070,617 = 6,070,617/x
  3. Step 3: Cross multiply
    4,127,969x = 6,070,617 × 6,070,617
  4. Step 4: Simplify right side
    4,127,969x = 36,852,390,760,689
  5. Step 5: Solve for x
    x = 36,852,390,760,689/4,127,969
  6. Step 6: Final answer
    x = 8,927,487.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.