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Finding the Third Proportional to 933,468 and 1,441,657.50

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Solution

The third proportional to 933,468 and 1,441,657.50 is: 2,226,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,468 : 1,441,657.50 = 1,441,657.50 : x
  2. Step 2: Convert to fraction form
    933,468/1,441,657.50 = 1,441,657.50/x
  3. Step 3: Cross multiply
    933,468x = 1,441,657.50 × 1,441,657.50
  4. Step 4: Simplify right side
    933,468x = 2,078,376,347,306.25
  5. Step 5: Solve for x
    x = 2,078,376,347,306.25/933,468
  6. Step 6: Final answer
    x = 2,226,510.55

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