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Finding the Third Proportional to 786,465 and 1,720,113

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Solution

The third proportional to 786,465 and 1,720,113 is: 3,762,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,465 : 1,720,113 = 1,720,113 : x
  2. Step 2: Convert to fraction form
    786,465/1,720,113 = 1,720,113/x
  3. Step 3: Cross multiply
    786,465x = 1,720,113 × 1,720,113
  4. Step 4: Simplify right side
    786,465x = 2,958,788,732,769
  5. Step 5: Solve for x
    x = 2,958,788,732,769/786,465
  6. Step 6: Final answer
    x = 3,762,136.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.