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Finding the Third Proportional to 423,374 and 913,222

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Solution

The third proportional to 423,374 and 913,222 is: 1,969,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,374 : 913,222 = 913,222 : x
  2. Step 2: Convert to fraction form
    423,374/913,222 = 913,222/x
  3. Step 3: Cross multiply
    423,374x = 913,222 × 913,222
  4. Step 4: Simplify right side
    423,374x = 833,974,421,284
  5. Step 5: Solve for x
    x = 833,974,421,284/423,374
  6. Step 6: Final answer
    x = 1,969,829.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.