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Finding the Third Proportional to 506,889 and 1,088,658

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Solution

The third proportional to 506,889 and 1,088,658 is: 2,338,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,889 : 1,088,658 = 1,088,658 : x
  2. Step 2: Convert to fraction form
    506,889/1,088,658 = 1,088,658/x
  3. Step 3: Cross multiply
    506,889x = 1,088,658 × 1,088,658
  4. Step 4: Simplify right side
    506,889x = 1,185,176,240,964
  5. Step 5: Solve for x
    x = 1,185,176,240,964/506,889
  6. Step 6: Final answer
    x = 2,338,137.62

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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.