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Finding the Third Proportional to 468,490 and 1,041,772

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Solution

The third proportional to 468,490 and 1,041,772 is: 2,316,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,490 : 1,041,772 = 1,041,772 : x
  2. Step 2: Convert to fraction form
    468,490/1,041,772 = 1,041,772/x
  3. Step 3: Cross multiply
    468,490x = 1,041,772 × 1,041,772
  4. Step 4: Simplify right side
    468,490x = 1,085,288,899,984
  5. Step 5: Solve for x
    x = 1,085,288,899,984/468,490
  6. Step 6: Final answer
    x = 2,316,567.91

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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.