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Finding the Third Proportional to 594,768,384 and 1,288,386,352

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Solution

The third proportional to 594,768,384 and 1,288,386,352 is: 2,790,900,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,768,384 : 1,288,386,352 = 1,288,386,352 : x
  2. Step 2: Convert to fraction form
    594,768,384/1,288,386,352 = 1,288,386,352/x
  3. Step 3: Cross multiply
    594,768,384x = 1,288,386,352 × 1,288,386,352
  4. Step 4: Simplify right side
    594,768,384x = 1,659,939,392,019,867,904
  5. Step 5: Solve for x
    x = 1,659,939,392,019,867,904/594,768,384
  6. Step 6: Final answer
    x = 2,790,900,519.72

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