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Finding the Third Proportional to 410,031 and 887,454

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Solution

The third proportional to 410,031 and 887,454 is: 1,920,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,031 : 887,454 = 887,454 : x
  2. Step 2: Convert to fraction form
    410,031/887,454 = 887,454/x
  3. Step 3: Cross multiply
    410,031x = 887,454 × 887,454
  4. Step 4: Simplify right side
    410,031x = 787,574,602,116
  5. Step 5: Solve for x
    x = 787,574,602,116/410,031
  6. Step 6: Final answer
    x = 1,920,768.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.