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Finding the Third Proportional to 296,539,445 and 617,623,044

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Solution

The third proportional to 296,539,445 and 617,623,044 is: 1,286,365,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,539,445 : 617,623,044 = 617,623,044 : x
  2. Step 2: Convert to fraction form
    296,539,445/617,623,044 = 617,623,044/x
  3. Step 3: Cross multiply
    296,539,445x = 617,623,044 × 617,623,044
  4. Step 4: Simplify right side
    296,539,445x = 381,458,224,479,825,920
  5. Step 5: Solve for x
    x = 381,458,224,479,825,920/296,539,445
  6. Step 6: Final answer
    x = 1,286,365,881.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.