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Finding the Third Proportional to 932,776 and 1,977,648

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Solution

The third proportional to 932,776 and 1,977,648 is: 4,192,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,776 : 1,977,648 = 1,977,648 : x
  2. Step 2: Convert to fraction form
    932,776/1,977,648 = 1,977,648/x
  3. Step 3: Cross multiply
    932,776x = 1,977,648 × 1,977,648
  4. Step 4: Simplify right side
    932,776x = 3,911,091,611,904
  5. Step 5: Solve for x
    x = 3,911,091,611,904/932,776
  6. Step 6: Final answer
    x = 4,192,959.09

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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.