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Finding the Third Proportional to 482,968,307 and 1,042,411,846

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Solution

The third proportional to 482,968,307 and 1,042,411,846 is: 2,249,883,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,968,307 : 1,042,411,846 = 1,042,411,846 : x
  2. Step 2: Convert to fraction form
    482,968,307/1,042,411,846 = 1,042,411,846/x
  3. Step 3: Cross multiply
    482,968,307x = 1,042,411,846 × 1,042,411,846
  4. Step 4: Simplify right side
    482,968,307x = 1,086,622,456,681,127,680
  5. Step 5: Solve for x
    x = 1,086,622,456,681,127,680/482,968,307
  6. Step 6: Final answer
    x = 2,249,883,565.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.