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Finding the Third Proportional to 676,854 and 1,015,426

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Solution

The third proportional to 676,854 and 1,015,426 is: 1,523,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,854 : 1,015,426 = 1,015,426 : x
  2. Step 2: Convert to fraction form
    676,854/1,015,426 = 1,015,426/x
  3. Step 3: Cross multiply
    676,854x = 1,015,426 × 1,015,426
  4. Step 4: Simplify right side
    676,854x = 1,031,089,961,476
  5. Step 5: Solve for x
    x = 1,031,089,961,476/676,854
  6. Step 6: Final answer
    x = 1,523,356.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.