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Finding the Third Proportional to 964,017 and 1,494,490.50

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Solution

The third proportional to 964,017 and 1,494,490.50 is: 2,316,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,017 : 1,494,490.50 = 1,494,490.50 : x
  2. Step 2: Convert to fraction form
    964,017/1,494,490.50 = 1,494,490.50/x
  3. Step 3: Cross multiply
    964,017x = 1,494,490.50 × 1,494,490.50
  4. Step 4: Simplify right side
    964,017x = 2,233,501,854,590.25
  5. Step 5: Solve for x
    x = 2,233,501,854,590.25/964,017
  6. Step 6: Final answer
    x = 2,316,869.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.