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Finding the Third Proportional to 410,066 and 887,523

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Solution

The third proportional to 410,066 and 887,523 is: 1,920,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,066 : 887,523 = 887,523 : x
  2. Step 2: Convert to fraction form
    410,066/887,523 = 887,523/x
  3. Step 3: Cross multiply
    410,066x = 887,523 × 887,523
  4. Step 4: Simplify right side
    410,066x = 787,697,075,529
  5. Step 5: Solve for x
    x = 787,697,075,529/410,066
  6. Step 6: Final answer
    x = 1,920,903.16

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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.