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Finding the Third Proportional to 498,133 and 1,031,711

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Solution

The third proportional to 498,133 and 1,031,711 is: 2,136,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,133 : 1,031,711 = 1,031,711 : x
  2. Step 2: Convert to fraction form
    498,133/1,031,711 = 1,031,711/x
  3. Step 3: Cross multiply
    498,133x = 1,031,711 × 1,031,711
  4. Step 4: Simplify right side
    498,133x = 1,064,427,587,521
  5. Step 5: Solve for x
    x = 1,064,427,587,521/498,133
  6. Step 6: Final answer
    x = 2,136,834.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.