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Finding the Third Proportional to 672,044,462 and 1,054,238,504

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Solution

The third proportional to 672,044,462 and 1,054,238,504 is: 1,653,787,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,044,462 : 1,054,238,504 = 1,054,238,504 : x
  2. Step 2: Convert to fraction form
    672,044,462/1,054,238,504 = 1,054,238,504/x
  3. Step 3: Cross multiply
    672,044,462x = 1,054,238,504 × 1,054,238,504
  4. Step 4: Simplify right side
    672,044,462x = 1,111,418,823,316,157,952
  5. Step 5: Solve for x
    x = 1,111,418,823,316,157,952/672,044,462
  6. Step 6: Final answer
    x = 1,653,787,637.81

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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.