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Finding the Third Proportional to 468,468 and 1,041,732

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Solution

The third proportional to 468,468 and 1,041,732 is: 2,316,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,468 : 1,041,732 = 1,041,732 : x
  2. Step 2: Convert to fraction form
    468,468/1,041,732 = 1,041,732/x
  3. Step 3: Cross multiply
    468,468x = 1,041,732 × 1,041,732
  4. Step 4: Simplify right side
    468,468x = 1,085,205,559,824
  5. Step 5: Solve for x
    x = 1,085,205,559,824/468,468
  6. Step 6: Final answer
    x = 2,316,498.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.