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Finding the Third Proportional to 497,026,887 and 777,989,580

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Solution

The third proportional to 497,026,887 and 777,989,580 is: 1,217,776,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,026,887 : 777,989,580 = 777,989,580 : x
  2. Step 2: Convert to fraction form
    497,026,887/777,989,580 = 777,989,580/x
  3. Step 3: Cross multiply
    497,026,887x = 777,989,580 × 777,989,580
  4. Step 4: Simplify right side
    497,026,887x = 605,267,786,588,576,384
  5. Step 5: Solve for x
    x = 605,267,786,588,576,384/497,026,887
  6. Step 6: Final answer
    x = 1,217,776,748.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.