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Finding the Third Proportional to 473,583 and 1,046,835

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Solution

The third proportional to 473,583 and 1,046,835 is: 2,313,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,583 : 1,046,835 = 1,046,835 : x
  2. Step 2: Convert to fraction form
    473,583/1,046,835 = 1,046,835/x
  3. Step 3: Cross multiply
    473,583x = 1,046,835 × 1,046,835
  4. Step 4: Simplify right side
    473,583x = 1,095,863,517,225
  5. Step 5: Solve for x
    x = 1,095,863,517,225/473,583
  6. Step 6: Final answer
    x = 2,313,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.