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Finding the Third Proportional to 648,509 and 1,036,006

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Solution

The third proportional to 648,509 and 1,036,006 is: 1,655,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,509 : 1,036,006 = 1,036,006 : x
  2. Step 2: Convert to fraction form
    648,509/1,036,006 = 1,036,006/x
  3. Step 3: Cross multiply
    648,509x = 1,036,006 × 1,036,006
  4. Step 4: Simplify right side
    648,509x = 1,073,308,432,036
  5. Step 5: Solve for x
    x = 1,073,308,432,036/648,509
  6. Step 6: Final answer
    x = 1,655,040.15

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.