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Finding the Third Proportional to 686,784 and 1,050,594

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Solution

The third proportional to 686,784 and 1,050,594 is: 1,607,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,784 : 1,050,594 = 1,050,594 : x
  2. Step 2: Convert to fraction form
    686,784/1,050,594 = 1,050,594/x
  3. Step 3: Cross multiply
    686,784x = 1,050,594 × 1,050,594
  4. Step 4: Simplify right side
    686,784x = 1,103,747,752,836
  5. Step 5: Solve for x
    x = 1,103,747,752,836/686,784
  6. Step 6: Final answer
    x = 1,607,125.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.