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Finding the Third Proportional to 811,534 and 1,266,430

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Solution

The third proportional to 811,534 and 1,266,430 is: 1,976,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,534 : 1,266,430 = 1,266,430 : x
  2. Step 2: Convert to fraction form
    811,534/1,266,430 = 1,266,430/x
  3. Step 3: Cross multiply
    811,534x = 1,266,430 × 1,266,430
  4. Step 4: Simplify right side
    811,534x = 1,603,844,944,900
  5. Step 5: Solve for x
    x = 1,603,844,944,900/811,534
  6. Step 6: Final answer
    x = 1,976,312.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.