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Finding the Third Proportional to 469,693,424 and 999,853,024

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Solution

The third proportional to 469,693,424 and 999,853,024 is: 2,128,422,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,693,424 : 999,853,024 = 999,853,024 : x
  2. Step 2: Convert to fraction form
    469,693,424/999,853,024 = 999,853,024/x
  3. Step 3: Cross multiply
    469,693,424x = 999,853,024 × 999,853,024
  4. Step 4: Simplify right side
    469,693,424x = 999,706,069,601,944,576
  5. Step 5: Solve for x
    x = 999,706,069,601,944,576/469,693,424
  6. Step 6: Final answer
    x = 2,128,422,538.02

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Why These Related Problems?

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