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Finding the Third Proportional to 640,981 and 996,436.50

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Solution

The third proportional to 640,981 and 996,436.50 is: 1,549,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,981 : 996,436.50 = 996,436.50 : x
  2. Step 2: Convert to fraction form
    640,981/996,436.50 = 996,436.50/x
  3. Step 3: Cross multiply
    640,981x = 996,436.50 × 996,436.50
  4. Step 4: Simplify right side
    640,981x = 992,885,698,532.25
  5. Step 5: Solve for x
    x = 992,885,698,532.25/640,981
  6. Step 6: Final answer
    x = 1,549,009.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.