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Finding the Third Proportional to 1,079,531,307 and 1,658,580,540

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Solution

The third proportional to 1,079,531,307 and 1,658,580,540 is: 2,548,225,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,531,307 : 1,658,580,540 = 1,658,580,540 : x
  2. Step 2: Convert to fraction form
    1,079,531,307/1,658,580,540 = 1,658,580,540/x
  3. Step 3: Cross multiply
    1,079,531,307x = 1,658,580,540 × 1,658,580,540
  4. Step 4: Simplify right side
    1,079,531,307x = 2,750,889,407,666,691,584
  5. Step 5: Solve for x
    x = 2,750,889,407,666,691,584/1,079,531,307
  6. Step 6: Final answer
    x = 2,548,225,688.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.