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Finding the Third Proportional to 1,266,482.25 and 1,866,235.50

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Solution

The third proportional to 1,266,482.25 and 1,866,235.50 is: 2,750,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,482.25 : 1,866,235.50 = 1,866,235.50 : x
  2. Step 2: Convert to fraction form
    1,266,482.25/1,866,235.50 = 1,866,235.50/x
  3. Step 3: Cross multiply
    1,266,482.25x = 1,866,235.50 × 1,866,235.50
  4. Step 4: Simplify right side
    1,266,482.25x = 3,482,834,941,460.25
  5. Step 5: Solve for x
    x = 3,482,834,941,460.25/1,266,482.25
  6. Step 6: Final answer
    x = 2,750,006.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.