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Finding the Third Proportional to 648,602.44 and 1,007,734.50

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Solution

The third proportional to 648,602.44 and 1,007,734.50 is: 1,565,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,602.44 : 1,007,734.50 = 1,007,734.50 : x
  2. Step 2: Convert to fraction form
    648,602.44/1,007,734.50 = 1,007,734.50/x
  3. Step 3: Cross multiply
    648,602.44x = 1,007,734.50 × 1,007,734.50
  4. Step 4: Simplify right side
    648,602.44x = 1,015,528,822,490.25
  5. Step 5: Solve for x
    x = 1,015,528,822,490.25/648,602.44
  6. Step 6: Final answer
    x = 1,565,718.48

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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.