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Finding the Third Proportional to 686,366 and 1,043,541

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Solution

The third proportional to 686,366 and 1,043,541 is: 1,586,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,366 : 1,043,541 = 1,043,541 : x
  2. Step 2: Convert to fraction form
    686,366/1,043,541 = 1,043,541/x
  3. Step 3: Cross multiply
    686,366x = 1,043,541 × 1,043,541
  4. Step 4: Simplify right side
    686,366x = 1,088,977,818,681
  5. Step 5: Solve for x
    x = 1,088,977,818,681/686,366
  6. Step 6: Final answer
    x = 1,586,584.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.