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Finding the Third Proportional to 559,633,528 and 1,197,882,265

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Solution

The third proportional to 559,633,528 and 1,197,882,265 is: 2,564,038,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,633,528 : 1,197,882,265 = 1,197,882,265 : x
  2. Step 2: Convert to fraction form
    559,633,528/1,197,882,265 = 1,197,882,265/x
  3. Step 3: Cross multiply
    559,633,528x = 1,197,882,265 × 1,197,882,265
  4. Step 4: Simplify right side
    559,633,528x = 1,434,921,920,801,530,112
  5. Step 5: Solve for x
    x = 1,434,921,920,801,530,112/559,633,528
  6. Step 6: Final answer
    x = 2,564,038,516.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.