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Finding the Third Proportional to 970,012.50 and 1,468,437

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Solution

The third proportional to 970,012.50 and 1,468,437 is: 2,222,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,012.50 : 1,468,437 = 1,468,437 : x
  2. Step 2: Convert to fraction form
    970,012.50/1,468,437 = 1,468,437/x
  3. Step 3: Cross multiply
    970,012.50x = 1,468,437 × 1,468,437
  4. Step 4: Simplify right side
    970,012.50x = 2,156,307,222,969
  5. Step 5: Solve for x
    x = 2,156,307,222,969/970,012.50
  6. Step 6: Final answer
    x = 2,222,968.49

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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.