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Finding the Third Proportional to 659,161,370 and 997,225,671

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Solution

The third proportional to 659,161,370 and 997,225,671 is: 1,508,673,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,161,370 : 997,225,671 = 997,225,671 : x
  2. Step 2: Convert to fraction form
    659,161,370/997,225,671 = 997,225,671/x
  3. Step 3: Cross multiply
    659,161,370x = 997,225,671 × 997,225,671
  4. Step 4: Simplify right side
    659,161,370x = 994,459,038,901,400,192
  5. Step 5: Solve for x
    x = 994,459,038,901,400,192/659,161,370
  6. Step 6: Final answer
    x = 1,508,673,117.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.