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Finding the Third Proportional to 647,674,584 and 947,221,146

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Solution

The third proportional to 647,674,584 and 947,221,146 is: 1,385,306,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,674,584 : 947,221,146 = 947,221,146 : x
  2. Step 2: Convert to fraction form
    647,674,584/947,221,146 = 947,221,146/x
  3. Step 3: Cross multiply
    647,674,584x = 947,221,146 × 947,221,146
  4. Step 4: Simplify right side
    647,674,584x = 897,227,899,429,553,280
  5. Step 5: Solve for x
    x = 897,227,899,429,553,280/647,674,584
  6. Step 6: Final answer
    x = 1,385,306,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.