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Finding the Third Proportional to 433,051,396 and 1,021,923,754

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Solution

The third proportional to 433,051,396 and 1,021,923,754 is: 2,411,557,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,051,396 : 1,021,923,754 = 1,021,923,754 : x
  2. Step 2: Convert to fraction form
    433,051,396/1,021,923,754 = 1,021,923,754/x
  3. Step 3: Cross multiply
    433,051,396x = 1,021,923,754 × 1,021,923,754
  4. Step 4: Simplify right side
    433,051,396x = 1,044,328,158,989,452,544
  5. Step 5: Solve for x
    x = 1,044,328,158,989,452,544/433,051,396
  6. Step 6: Final answer
    x = 2,411,557,077.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.