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Finding the Third Proportional to 1,918,570 and 4,127,464

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Solution

The third proportional to 1,918,570 and 4,127,464 is: 8,879,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,570 : 4,127,464 = 4,127,464 : x
  2. Step 2: Convert to fraction form
    1,918,570/4,127,464 = 4,127,464/x
  3. Step 3: Cross multiply
    1,918,570x = 4,127,464 × 4,127,464
  4. Step 4: Simplify right side
    1,918,570x = 17,035,959,071,296
  5. Step 5: Solve for x
    x = 17,035,959,071,296/1,918,570
  6. Step 6: Final answer
    x = 8,879,508.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.