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Finding the Third Proportional to 527,019,246 and 1,144,762,992

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Solution

The third proportional to 527,019,246 and 1,144,762,992 is: 2,486,592,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,019,246 : 1,144,762,992 = 1,144,762,992 : x
  2. Step 2: Convert to fraction form
    527,019,246/1,144,762,992 = 1,144,762,992/x
  3. Step 3: Cross multiply
    527,019,246x = 1,144,762,992 × 1,144,762,992
  4. Step 4: Simplify right side
    527,019,246x = 1,310,482,307,852,792,064
  5. Step 5: Solve for x
    x = 1,310,482,307,852,792,064/527,019,246
  6. Step 6: Final answer
    x = 2,486,592,885.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.