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Finding the Third Proportional to 426,354 and 917,224

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Solution

The third proportional to 426,354 and 917,224 is: 1,973,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,354 : 917,224 = 917,224 : x
  2. Step 2: Convert to fraction form
    426,354/917,224 = 917,224/x
  3. Step 3: Cross multiply
    426,354x = 917,224 × 917,224
  4. Step 4: Simplify right side
    426,354x = 841,299,866,176
  5. Step 5: Solve for x
    x = 841,299,866,176/426,354
  6. Step 6: Final answer
    x = 1,973,242.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.