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Finding the Third Proportional to 932,774.48 and 1,977,644.11

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Solution

The third proportional to 932,774.48 and 1,977,644.11 is: 4,192,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,774.48 : 1,977,644.11 = 1,977,644.11 : x
  2. Step 2: Convert to fraction form
    932,774.48/1,977,644.11 = 1,977,644.11/x
  3. Step 3: Cross multiply
    932,774.48x = 1,977,644.11 × 1,977,644.11
  4. Step 4: Simplify right side
    932,774.48x = 3,911,076,223,345.64
  5. Step 5: Solve for x
    x = 3,911,076,223,345.64/932,774.48
  6. Step 6: Final answer
    x = 4,192,949.41

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Why These Related Problems?

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