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Finding the Third Proportional to 813,952 and 1,196,572

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Solution

The third proportional to 813,952 and 1,196,572 is: 1,759,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,952 : 1,196,572 = 1,196,572 : x
  2. Step 2: Convert to fraction form
    813,952/1,196,572 = 1,196,572/x
  3. Step 3: Cross multiply
    813,952x = 1,196,572 × 1,196,572
  4. Step 4: Simplify right side
    813,952x = 1,431,784,551,184
  5. Step 5: Solve for x
    x = 1,431,784,551,184/813,952
  6. Step 6: Final answer
    x = 1,759,052.81

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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.