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Finding the Third Proportional to 932,774 and 1,977,643

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Solution

The third proportional to 932,774 and 1,977,643 is: 4,192,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,774 : 1,977,643 = 1,977,643 : x
  2. Step 2: Convert to fraction form
    932,774/1,977,643 = 1,977,643/x
  3. Step 3: Cross multiply
    932,774x = 1,977,643 × 1,977,643
  4. Step 4: Simplify right side
    932,774x = 3,911,071,835,449
  5. Step 5: Solve for x
    x = 3,911,071,835,449/932,774
  6. Step 6: Final answer
    x = 4,192,946.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.