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Finding the Third Proportional to 916,952 and 1,266,972

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Solution

The third proportional to 916,952 and 1,266,972 is: 1,750,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,952 : 1,266,972 = 1,266,972 : x
  2. Step 2: Convert to fraction form
    916,952/1,266,972 = 1,266,972/x
  3. Step 3: Cross multiply
    916,952x = 1,266,972 × 1,266,972
  4. Step 4: Simplify right side
    916,952x = 1,605,218,048,784
  5. Step 5: Solve for x
    x = 1,605,218,048,784/916,952
  6. Step 6: Final answer
    x = 1,750,602.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.