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Finding the Third Proportional to 771,032 and 1,670,776

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Solution

The third proportional to 771,032 and 1,670,776 is: 3,620,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,032 : 1,670,776 = 1,670,776 : x
  2. Step 2: Convert to fraction form
    771,032/1,670,776 = 1,670,776/x
  3. Step 3: Cross multiply
    771,032x = 1,670,776 × 1,670,776
  4. Step 4: Simplify right side
    771,032x = 2,791,492,442,176
  5. Step 5: Solve for x
    x = 2,791,492,442,176/771,032
  6. Step 6: Final answer
    x = 3,620,462.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.