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Finding the Third Proportional to 1,130,767 and 1,748,641

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Solution

The third proportional to 1,130,767 and 1,748,641 is: 2,704,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,767 : 1,748,641 = 1,748,641 : x
  2. Step 2: Convert to fraction form
    1,130,767/1,748,641 = 1,748,641/x
  3. Step 3: Cross multiply
    1,130,767x = 1,748,641 × 1,748,641
  4. Step 4: Simplify right side
    1,130,767x = 3,057,745,346,881
  5. Step 5: Solve for x
    x = 3,057,745,346,881/1,130,767
  6. Step 6: Final answer
    x = 2,704,133.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.