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Finding the Third Proportional to 926,644 and 2,030,432

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Solution

The third proportional to 926,644 and 2,030,432 is: 4,449,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,644 : 2,030,432 = 2,030,432 : x
  2. Step 2: Convert to fraction form
    926,644/2,030,432 = 2,030,432/x
  3. Step 3: Cross multiply
    926,644x = 2,030,432 × 2,030,432
  4. Step 4: Simplify right side
    926,644x = 4,122,654,106,624
  5. Step 5: Solve for x
    x = 4,122,654,106,624/926,644
  6. Step 6: Final answer
    x = 4,449,016.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.