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Finding the Third Proportional to 605,672,964 and 1,317,634,128

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Solution

The third proportional to 605,672,964 and 1,317,634,128 is: 2,866,496,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,672,964 : 1,317,634,128 = 1,317,634,128 : x
  2. Step 2: Convert to fraction form
    605,672,964/1,317,634,128 = 1,317,634,128/x
  3. Step 3: Cross multiply
    605,672,964x = 1,317,634,128 × 1,317,634,128
  4. Step 4: Simplify right side
    605,672,964x = 1,736,159,695,270,320,384
  5. Step 5: Solve for x
    x = 1,736,159,695,270,320,384/605,672,964
  6. Step 6: Final answer
    x = 2,866,496,935.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.