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Finding the Third Proportional to 651,786 and 997,066.50

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Solution

The third proportional to 651,786 and 997,066.50 is: 1,525,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,786 : 997,066.50 = 997,066.50 : x
  2. Step 2: Convert to fraction form
    651,786/997,066.50 = 997,066.50/x
  3. Step 3: Cross multiply
    651,786x = 997,066.50 × 997,066.50
  4. Step 4: Simplify right side
    651,786x = 994,141,605,422.25
  5. Step 5: Solve for x
    x = 994,141,605,422.25/651,786
  6. Step 6: Final answer
    x = 1,525,257.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.