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Finding the Third Proportional to 927,345 and 1,977,168

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Solution

The third proportional to 927,345 and 1,977,168 is: 4,215,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,345 : 1,977,168 = 1,977,168 : x
  2. Step 2: Convert to fraction form
    927,345/1,977,168 = 1,977,168/x
  3. Step 3: Cross multiply
    927,345x = 1,977,168 × 1,977,168
  4. Step 4: Simplify right side
    927,345x = 3,909,193,300,224
  5. Step 5: Solve for x
    x = 3,909,193,300,224/927,345
  6. Step 6: Final answer
    x = 4,215,468.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.