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Finding the Third Proportional to 656,856 and 989,984.25

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Solution

The third proportional to 656,856 and 989,984.25 is: 1,492,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,856 : 989,984.25 = 989,984.25 : x
  2. Step 2: Convert to fraction form
    656,856/989,984.25 = 989,984.25/x
  3. Step 3: Cross multiply
    656,856x = 989,984.25 × 989,984.25
  4. Step 4: Simplify right side
    656,856x = 980,068,815,248.06
  5. Step 5: Solve for x
    x = 980,068,815,248.06/656,856
  6. Step 6: Final answer
    x = 1,492,060.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.