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Finding the Third Proportional to 1,007,390.04 and 1,550,281.78

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Solution

The third proportional to 1,007,390.04 and 1,550,281.78 is: 2,385,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,390.04 : 1,550,281.78 = 1,550,281.78 : x
  2. Step 2: Convert to fraction form
    1,007,390.04/1,550,281.78 = 1,550,281.78/x
  3. Step 3: Cross multiply
    1,007,390.04x = 1,550,281.78 × 1,550,281.78
  4. Step 4: Simplify right side
    1,007,390.04x = 2,403,373,601,275.67
  5. Step 5: Solve for x
    x = 2,403,373,601,275.67/1,007,390.04
  6. Step 6: Final answer
    x = 2,385,742.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.