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Finding the Third Proportional to 1,165,300 and 1,574,412

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Solution

The third proportional to 1,165,300 and 1,574,412 is: 2,127,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,300 : 1,574,412 = 1,574,412 : x
  2. Step 2: Convert to fraction form
    1,165,300/1,574,412 = 1,574,412/x
  3. Step 3: Cross multiply
    1,165,300x = 1,574,412 × 1,574,412
  4. Step 4: Simplify right side
    1,165,300x = 2,478,773,145,744
  5. Step 5: Solve for x
    x = 2,478,773,145,744/1,165,300
  6. Step 6: Final answer
    x = 2,127,154.51

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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.