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Finding the Third Proportional to 553,564 and 903,909

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Solution

The third proportional to 553,564 and 903,909 is: 1,475,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,564 : 903,909 = 903,909 : x
  2. Step 2: Convert to fraction form
    553,564/903,909 = 903,909/x
  3. Step 3: Cross multiply
    553,564x = 903,909 × 903,909
  4. Step 4: Simplify right side
    553,564x = 817,051,480,281
  5. Step 5: Solve for x
    x = 817,051,480,281/553,564
  6. Step 6: Final answer
    x = 1,475,983.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.