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Finding the Third Proportional to 1,130,101 and 1,705,661

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Solution

The third proportional to 1,130,101 and 1,705,661 is: 2,574,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,101 : 1,705,661 = 1,705,661 : x
  2. Step 2: Convert to fraction form
    1,130,101/1,705,661 = 1,705,661/x
  3. Step 3: Cross multiply
    1,130,101x = 1,705,661 × 1,705,661
  4. Step 4: Simplify right side
    1,130,101x = 2,909,279,446,921
  5. Step 5: Solve for x
    x = 2,909,279,446,921/1,130,101
  6. Step 6: Final answer
    x = 2,574,353.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.