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Finding the Third Proportional to 525,582 and 1,088,496

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Solution

The third proportional to 525,582 and 1,088,496 is: 2,254,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,582 : 1,088,496 = 1,088,496 : x
  2. Step 2: Convert to fraction form
    525,582/1,088,496 = 1,088,496/x
  3. Step 3: Cross multiply
    525,582x = 1,088,496 × 1,088,496
  4. Step 4: Simplify right side
    525,582x = 1,184,823,542,016
  5. Step 5: Solve for x
    x = 1,184,823,542,016/525,582
  6. Step 6: Final answer
    x = 2,254,307.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.