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Finding the Third Proportional to 688,878 and 1,012,905

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Solution

The third proportional to 688,878 and 1,012,905 is: 1,489,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,878 : 1,012,905 = 1,012,905 : x
  2. Step 2: Convert to fraction form
    688,878/1,012,905 = 1,012,905/x
  3. Step 3: Cross multiply
    688,878x = 1,012,905 × 1,012,905
  4. Step 4: Simplify right side
    688,878x = 1,025,976,539,025
  5. Step 5: Solve for x
    x = 1,025,976,539,025/688,878
  6. Step 6: Final answer
    x = 1,489,344.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.