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Finding the Third Proportional to 520,724 and 1,136,488

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Solution

The third proportional to 520,724 and 1,136,488 is: 2,480,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,724 : 1,136,488 = 1,136,488 : x
  2. Step 2: Convert to fraction form
    520,724/1,136,488 = 1,136,488/x
  3. Step 3: Cross multiply
    520,724x = 1,136,488 × 1,136,488
  4. Step 4: Simplify right side
    520,724x = 1,291,604,974,144
  5. Step 5: Solve for x
    x = 1,291,604,974,144/520,724
  6. Step 6: Final answer
    x = 2,480,402.24

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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.