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Finding the Third Proportional to 1,029,513.16 and 1,565,259.82

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Solution

The third proportional to 1,029,513.16 and 1,565,259.82 is: 2,379,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,513.16 : 1,565,259.82 = 1,565,259.82 : x
  2. Step 2: Convert to fraction form
    1,029,513.16/1,565,259.82 = 1,565,259.82/x
  3. Step 3: Cross multiply
    1,029,513.16x = 1,565,259.82 × 1,565,259.82
  4. Step 4: Simplify right side
    1,029,513.16x = 2,450,038,305,084.72
  5. Step 5: Solve for x
    x = 2,450,038,305,084.72/1,029,513.16
  6. Step 6: Final answer
    x = 2,379,802.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.