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Finding the Third Proportional to 612,817,419 and 917,054,896.50

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Solution

The third proportional to 612,817,419 and 917,054,896.50 is: 1,372,333,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,817,419 : 917,054,896.50 = 917,054,896.50 : x
  2. Step 2: Convert to fraction form
    612,817,419/917,054,896.50 = 917,054,896.50/x
  3. Step 3: Cross multiply
    612,817,419x = 917,054,896.50 × 917,054,896.50
  4. Step 4: Simplify right side
    612,817,419x = 840,989,683,194,625,664
  5. Step 5: Solve for x
    x = 840,989,683,194,625,664/612,817,419
  6. Step 6: Final answer
    x = 1,372,333,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.