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Finding the Third Proportional to 410,075 and 887,541

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Solution

The third proportional to 410,075 and 887,541 is: 1,920,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,075 : 887,541 = 887,541 : x
  2. Step 2: Convert to fraction form
    410,075/887,541 = 887,541/x
  3. Step 3: Cross multiply
    410,075x = 887,541 × 887,541
  4. Step 4: Simplify right side
    410,075x = 787,729,026,681
  5. Step 5: Solve for x
    x = 787,729,026,681/410,075
  6. Step 6: Final answer
    x = 1,920,938.92

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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.