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Finding the Third Proportional to 671,707.50 and 1,007,146

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Solution

The third proportional to 671,707.50 and 1,007,146 is: 1,510,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,707.50 : 1,007,146 = 1,007,146 : x
  2. Step 2: Convert to fraction form
    671,707.50/1,007,146 = 1,007,146/x
  3. Step 3: Cross multiply
    671,707.50x = 1,007,146 × 1,007,146
  4. Step 4: Simplify right side
    671,707.50x = 1,014,343,065,316
  5. Step 5: Solve for x
    x = 1,014,343,065,316/671,707.50
  6. Step 6: Final answer
    x = 1,510,096.38

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