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Finding the Third Proportional to 473,283 and 1,038,420

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Solution

The third proportional to 473,283 and 1,038,420 is: 2,278,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,283 : 1,038,420 = 1,038,420 : x
  2. Step 2: Convert to fraction form
    473,283/1,038,420 = 1,038,420/x
  3. Step 3: Cross multiply
    473,283x = 1,038,420 × 1,038,420
  4. Step 4: Simplify right side
    473,283x = 1,078,316,096,400
  5. Step 5: Solve for x
    x = 1,078,316,096,400/473,283
  6. Step 6: Final answer
    x = 2,278,374.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.