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Finding the Third Proportional to 972,705 and 1,553,919

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Solution

The third proportional to 972,705 and 1,553,919 is: 2,482,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,705 : 1,553,919 = 1,553,919 : x
  2. Step 2: Convert to fraction form
    972,705/1,553,919 = 1,553,919/x
  3. Step 3: Cross multiply
    972,705x = 1,553,919 × 1,553,919
  4. Step 4: Simplify right side
    972,705x = 2,414,664,258,561
  5. Step 5: Solve for x
    x = 2,414,664,258,561/972,705
  6. Step 6: Final answer
    x = 2,482,421.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.