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Finding the Third Proportional to 340,787,403 and 746,443,818

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Solution

The third proportional to 340,787,403 and 746,443,818 is: 1,634,973,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,787,403 : 746,443,818 = 746,443,818 : x
  2. Step 2: Convert to fraction form
    340,787,403/746,443,818 = 746,443,818/x
  3. Step 3: Cross multiply
    340,787,403x = 746,443,818 × 746,443,818
  4. Step 4: Simplify right side
    340,787,403x = 557,178,373,430,417,152
  5. Step 5: Solve for x
    x = 557,178,373,430,417,152/340,787,403
  6. Step 6: Final answer
    x = 1,634,973,501.15

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Why These Related Problems?

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