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Finding the Third Proportional to 1,165,266 and 1,574,364

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Solution

The third proportional to 1,165,266 and 1,574,364 is: 2,127,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,266 : 1,574,364 = 1,574,364 : x
  2. Step 2: Convert to fraction form
    1,165,266/1,574,364 = 1,574,364/x
  3. Step 3: Cross multiply
    1,165,266x = 1,574,364 × 1,574,364
  4. Step 4: Simplify right side
    1,165,266x = 2,478,622,004,496
  5. Step 5: Solve for x
    x = 2,478,622,004,496/1,165,266
  6. Step 6: Final answer
    x = 2,127,086.87

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.