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Finding the Third Proportional to 780,123 and 1,165,036.50

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Solution

The third proportional to 780,123 and 1,165,036.50 is: 1,739,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,123 : 1,165,036.50 = 1,165,036.50 : x
  2. Step 2: Convert to fraction form
    780,123/1,165,036.50 = 1,165,036.50/x
  3. Step 3: Cross multiply
    780,123x = 1,165,036.50 × 1,165,036.50
  4. Step 4: Simplify right side
    780,123x = 1,357,310,046,332.25
  5. Step 5: Solve for x
    x = 1,357,310,046,332.25/780,123
  6. Step 6: Final answer
    x = 1,739,866.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.