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Finding the Third Proportional to 974,691 and 1,462,036.50

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Solution

The third proportional to 974,691 and 1,462,036.50 is: 2,193,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,691 : 1,462,036.50 = 1,462,036.50 : x
  2. Step 2: Convert to fraction form
    974,691/1,462,036.50 = 1,462,036.50/x
  3. Step 3: Cross multiply
    974,691x = 1,462,036.50 × 1,462,036.50
  4. Step 4: Simplify right side
    974,691x = 2,137,550,727,332.25
  5. Step 5: Solve for x
    x = 2,137,550,727,332.25/974,691
  6. Step 6: Final answer
    x = 2,193,054.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.