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Finding the Third Proportional to 598,298,901 and 919,060,366.50

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Solution

The third proportional to 598,298,901 and 919,060,366.50 is: 1,411,789,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,298,901 : 919,060,366.50 = 919,060,366.50 : x
  2. Step 2: Convert to fraction form
    598,298,901/919,060,366.50 = 919,060,366.50/x
  3. Step 3: Cross multiply
    598,298,901x = 919,060,366.50 × 919,060,366.50
  4. Step 4: Simplify right side
    598,298,901x = 844,671,957,271,114,368
  5. Step 5: Solve for x
    x = 844,671,957,271,114,368/598,298,901
  6. Step 6: Final answer
    x = 1,411,789,250.92

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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.