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Finding the Third Proportional to 2,159,282.25 and 4,617,454.50

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Solution

The third proportional to 2,159,282.25 and 4,617,454.50 is: 9,874,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,282.25 : 4,617,454.50 = 4,617,454.50 : x
  2. Step 2: Convert to fraction form
    2,159,282.25/4,617,454.50 = 4,617,454.50/x
  3. Step 3: Cross multiply
    2,159,282.25x = 4,617,454.50 × 4,617,454.50
  4. Step 4: Simplify right side
    2,159,282.25x = 21,320,886,059,570.25
  5. Step 5: Solve for x
    x = 21,320,886,059,570.25/2,159,282.25
  6. Step 6: Final answer
    x = 9,874,061.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.