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Finding the Third Proportional to 712,512 and 1,136,160

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Solution

The third proportional to 712,512 and 1,136,160 is: 1,811,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,512 : 1,136,160 = 1,136,160 : x
  2. Step 2: Convert to fraction form
    712,512/1,136,160 = 1,136,160/x
  3. Step 3: Cross multiply
    712,512x = 1,136,160 × 1,136,160
  4. Step 4: Simplify right side
    712,512x = 1,290,859,545,600
  5. Step 5: Solve for x
    x = 1,290,859,545,600/712,512
  6. Step 6: Final answer
    x = 1,811,702.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.