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Finding the Third Proportional to 846,624 and 1,152,944

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Solution

The third proportional to 846,624 and 1,152,944 is: 1,570,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,624 : 1,152,944 = 1,152,944 : x
  2. Step 2: Convert to fraction form
    846,624/1,152,944 = 1,152,944/x
  3. Step 3: Cross multiply
    846,624x = 1,152,944 × 1,152,944
  4. Step 4: Simplify right side
    846,624x = 1,329,279,867,136
  5. Step 5: Solve for x
    x = 1,329,279,867,136/846,624
  6. Step 6: Final answer
    x = 1,570,094.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.