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Finding the Third Proportional to 2,138,442 and 4,428,461

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Solution

The third proportional to 2,138,442 and 4,428,461 is: 9,170,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,442 : 4,428,461 = 4,428,461 : x
  2. Step 2: Convert to fraction form
    2,138,442/4,428,461 = 4,428,461/x
  3. Step 3: Cross multiply
    2,138,442x = 4,428,461 × 4,428,461
  4. Step 4: Simplify right side
    2,138,442x = 19,611,266,828,521
  5. Step 5: Solve for x
    x = 19,611,266,828,521/2,138,442
  6. Step 6: Final answer
    x = 9,170,820.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.