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Finding the Third Proportional to 940,117 and 1,432,207.50

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Solution

The third proportional to 940,117 and 1,432,207.50 is: 2,181,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,117 : 1,432,207.50 = 1,432,207.50 : x
  2. Step 2: Convert to fraction form
    940,117/1,432,207.50 = 1,432,207.50/x
  3. Step 3: Cross multiply
    940,117x = 1,432,207.50 × 1,432,207.50
  4. Step 4: Simplify right side
    940,117x = 2,051,218,323,056.25
  5. Step 5: Solve for x
    x = 2,051,218,323,056.25/940,117
  6. Step 6: Final answer
    x = 2,181,875.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.