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Finding the Third Proportional to 648,005.06 and 980,937.84

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Solution

The third proportional to 648,005.06 and 980,937.84 is: 1,484,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,005.06 : 980,937.84 = 980,937.84 : x
  2. Step 2: Convert to fraction form
    648,005.06/980,937.84 = 980,937.84/x
  3. Step 3: Cross multiply
    648,005.06x = 980,937.84 × 980,937.84
  4. Step 4: Simplify right side
    648,005.06x = 962,239,053,300.90
  5. Step 5: Solve for x
    x = 962,239,053,300.90/648,005.06
  6. Step 6: Final answer
    x = 1,484,925.21

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Why These Related Problems?

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