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Finding the Third Proportional to 624,853 and 946,043

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Solution

The third proportional to 624,853 and 946,043 is: 1,432,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,853 : 946,043 = 946,043 : x
  2. Step 2: Convert to fraction form
    624,853/946,043 = 946,043/x
  3. Step 3: Cross multiply
    624,853x = 946,043 × 946,043
  4. Step 4: Simplify right side
    624,853x = 894,997,357,849
  5. Step 5: Solve for x
    x = 894,997,357,849/624,853
  6. Step 6: Final answer
    x = 1,432,332.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.