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Finding the Third Proportional to 598,298,902 and 919,060,368

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Solution

The third proportional to 598,298,902 and 919,060,368 is: 1,411,789,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,298,902 : 919,060,368 = 919,060,368 : x
  2. Step 2: Convert to fraction form
    598,298,902/919,060,368 = 919,060,368/x
  3. Step 3: Cross multiply
    598,298,902x = 919,060,368 × 919,060,368
  4. Step 4: Simplify right side
    598,298,902x = 844,671,960,028,295,424
  5. Step 5: Solve for x
    x = 844,671,960,028,295,424/598,298,902
  6. Step 6: Final answer
    x = 1,411,789,253.17

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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.