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Finding the Third Proportional to 771,657 and 1,692,717

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Solution

The third proportional to 771,657 and 1,692,717 is: 3,713,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,657 : 1,692,717 = 1,692,717 : x
  2. Step 2: Convert to fraction form
    771,657/1,692,717 = 1,692,717/x
  3. Step 3: Cross multiply
    771,657x = 1,692,717 × 1,692,717
  4. Step 4: Simplify right side
    771,657x = 2,865,290,842,089
  5. Step 5: Solve for x
    x = 2,865,290,842,089/771,657
  6. Step 6: Final answer
    x = 3,713,166.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.