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Finding the Third Proportional to 771,534 and 1,695,786

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Solution

The third proportional to 771,534 and 1,695,786 is: 3,727,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,534 : 1,695,786 = 1,695,786 : x
  2. Step 2: Convert to fraction form
    771,534/1,695,786 = 1,695,786/x
  3. Step 3: Cross multiply
    771,534x = 1,695,786 × 1,695,786
  4. Step 4: Simplify right side
    771,534x = 2,875,690,157,796
  5. Step 5: Solve for x
    x = 2,875,690,157,796/771,534
  6. Step 6: Final answer
    x = 3,727,237.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.