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Finding the Third Proportional to 422,803,044 and 646,840,323

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Solution

The third proportional to 422,803,044 and 646,840,323 is: 989,591,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,803,044 : 646,840,323 = 646,840,323 : x
  2. Step 2: Convert to fraction form
    422,803,044/646,840,323 = 646,840,323/x
  3. Step 3: Cross multiply
    422,803,044x = 646,840,323 × 646,840,323
  4. Step 4: Simplify right side
    422,803,044x = 418,402,403,458,744,320
  5. Step 5: Solve for x
    x = 418,402,403,458,744,320/422,803,044
  6. Step 6: Final answer
    x = 989,591,748.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.