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Finding the Third Proportional to 404,443,998 and 871,365,729

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Solution

The third proportional to 404,443,998 and 871,365,729 is: 1,877,338,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,443,998 : 871,365,729 = 871,365,729 : x
  2. Step 2: Convert to fraction form
    404,443,998/871,365,729 = 871,365,729/x
  3. Step 3: Cross multiply
    404,443,998x = 871,365,729 × 871,365,729
  4. Step 4: Simplify right side
    404,443,998x = 759,278,233,675,701,504
  5. Step 5: Solve for x
    x = 759,278,233,675,701,504/404,443,998
  6. Step 6: Final answer
    x = 1,877,338,364.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.