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Finding the Third Proportional to 1,045,968 and 1,472,952

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Solution

The third proportional to 1,045,968 and 1,472,952 is: 2,074,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,968 : 1,472,952 = 1,472,952 : x
  2. Step 2: Convert to fraction form
    1,045,968/1,472,952 = 1,472,952/x
  3. Step 3: Cross multiply
    1,045,968x = 1,472,952 × 1,472,952
  4. Step 4: Simplify right side
    1,045,968x = 2,169,587,594,304
  5. Step 5: Solve for x
    x = 2,169,587,594,304/1,045,968
  6. Step 6: Final answer
    x = 2,074,238.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.