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Finding the Third Proportional to 613,851 and 947,020.50

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Solution

The third proportional to 613,851 and 947,020.50 is: 1,461,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,851 : 947,020.50 = 947,020.50 : x
  2. Step 2: Convert to fraction form
    613,851/947,020.50 = 947,020.50/x
  3. Step 3: Cross multiply
    613,851x = 947,020.50 × 947,020.50
  4. Step 4: Simplify right side
    613,851x = 896,847,827,420.25
  5. Step 5: Solve for x
    x = 896,847,827,420.25/613,851
  6. Step 6: Final answer
    x = 1,461,018.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.