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Finding the Third Proportional to 431,827,468 and 940,326,294

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Solution

The third proportional to 431,827,468 and 940,326,294 is: 2,047,608,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,827,468 : 940,326,294 = 940,326,294 : x
  2. Step 2: Convert to fraction form
    431,827,468/940,326,294 = 940,326,294/x
  3. Step 3: Cross multiply
    431,827,468x = 940,326,294 × 940,326,294
  4. Step 4: Simplify right side
    431,827,468x = 884,213,539,187,774,464
  5. Step 5: Solve for x
    x = 884,213,539,187,774,464/431,827,468
  6. Step 6: Final answer
    x = 2,047,608,373.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.