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Finding the Third Proportional to 648,718.88 and 1,033,038.56

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Solution

The third proportional to 648,718.88 and 1,033,038.56 is: 1,645,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,718.88 : 1,033,038.56 = 1,033,038.56 : x
  2. Step 2: Convert to fraction form
    648,718.88/1,033,038.56 = 1,033,038.56/x
  3. Step 3: Cross multiply
    648,718.88x = 1,033,038.56 × 1,033,038.56
  4. Step 4: Simplify right side
    648,718.88x = 1,067,168,671,612.07
  5. Step 5: Solve for x
    x = 1,067,168,671,612.07/648,718.88
  6. Step 6: Final answer
    x = 1,645,040.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.