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Finding the Third Proportional to 594,483,488 and 918,232,368

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Solution

The third proportional to 594,483,488 and 918,232,368 is: 1,418,291,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,483,488 : 918,232,368 = 918,232,368 : x
  2. Step 2: Convert to fraction form
    594,483,488/918,232,368 = 918,232,368/x
  3. Step 3: Cross multiply
    594,483,488x = 918,232,368 × 918,232,368
  4. Step 4: Simplify right side
    594,483,488x = 843,150,681,642,887,424
  5. Step 5: Solve for x
    x = 843,150,681,642,887,424/594,483,488
  6. Step 6: Final answer
    x = 1,418,291,169.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.