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Finding the Third Proportional to 284,817,924 and 584,734,896

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Solution

The third proportional to 284,817,924 and 584,734,896 is: 1,200,468,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,817,924 : 584,734,896 = 584,734,896 : x
  2. Step 2: Convert to fraction form
    284,817,924/584,734,896 = 584,734,896/x
  3. Step 3: Cross multiply
    284,817,924x = 584,734,896 × 584,734,896
  4. Step 4: Simplify right side
    284,817,924x = 341,914,898,600,130,816
  5. Step 5: Solve for x
    x = 341,914,898,600,130,816/284,817,924
  6. Step 6: Final answer
    x = 1,200,468,333.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.