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Finding the Third Proportional to 532,329,747 and 1,164,841,590

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Solution

The third proportional to 532,329,747 and 1,164,841,590 is: 2,548,901,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,329,747 : 1,164,841,590 = 1,164,841,590 : x
  2. Step 2: Convert to fraction form
    532,329,747/1,164,841,590 = 1,164,841,590/x
  3. Step 3: Cross multiply
    532,329,747x = 1,164,841,590 × 1,164,841,590
  4. Step 4: Simplify right side
    532,329,747x = 1,356,855,929,793,728,000
  5. Step 5: Solve for x
    x = 1,356,855,929,793,728,000/532,329,747
  6. Step 6: Final answer
    x = 2,548,901,197.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.