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Finding the Third Proportional to 1,402,789.64 and 3,015,368.96

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Solution

The third proportional to 1,402,789.64 and 3,015,368.96 is: 6,481,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,789.64 : 3,015,368.96 = 3,015,368.96 : x
  2. Step 2: Convert to fraction form
    1,402,789.64/3,015,368.96 = 3,015,368.96/x
  3. Step 3: Cross multiply
    1,402,789.64x = 3,015,368.96 × 3,015,368.96
  4. Step 4: Simplify right side
    1,402,789.64x = 9,092,449,994,143.17
  5. Step 5: Solve for x
    x = 9,092,449,994,143.17/1,402,789.64
  6. Step 6: Final answer
    x = 6,481,691.72

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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.