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Finding the Third Proportional to 710,017 and 1,550,136

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Solution

The third proportional to 710,017 and 1,550,136 is: 3,384,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,017 : 1,550,136 = 1,550,136 : x
  2. Step 2: Convert to fraction form
    710,017/1,550,136 = 1,550,136/x
  3. Step 3: Cross multiply
    710,017x = 1,550,136 × 1,550,136
  4. Step 4: Simplify right side
    710,017x = 2,402,921,618,496
  5. Step 5: Solve for x
    x = 2,402,921,618,496/710,017
  6. Step 6: Final answer
    x = 3,384,315.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.