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Finding the Third Proportional to 410,070 and 887,532

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Solution

The third proportional to 410,070 and 887,532 is: 1,920,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,070 : 887,532 = 887,532 : x
  2. Step 2: Convert to fraction form
    410,070/887,532 = 887,532/x
  3. Step 3: Cross multiply
    410,070x = 887,532 × 887,532
  4. Step 4: Simplify right side
    410,070x = 787,713,051,024
  5. Step 5: Solve for x
    x = 787,713,051,024/410,070
  6. Step 6: Final answer
    x = 1,920,923.38

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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.