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Finding the Third Proportional to 291,893,426 and 634,593,940

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Solution

The third proportional to 291,893,426 and 634,593,940 is: 1,379,645,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,893,426 : 634,593,940 = 634,593,940 : x
  2. Step 2: Convert to fraction form
    291,893,426/634,593,940 = 634,593,940/x
  3. Step 3: Cross multiply
    291,893,426x = 634,593,940 × 634,593,940
  4. Step 4: Simplify right side
    291,893,426x = 402,709,468,684,723,584
  5. Step 5: Solve for x
    x = 402,709,468,684,723,584/291,893,426
  6. Step 6: Final answer
    x = 1,379,645,558.32

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Why These Related Problems?

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