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Finding the Third Proportional to 586,044 and 1,203,156

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Solution

The third proportional to 586,044 and 1,203,156 is: 2,470,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,044 : 1,203,156 = 1,203,156 : x
  2. Step 2: Convert to fraction form
    586,044/1,203,156 = 1,203,156/x
  3. Step 3: Cross multiply
    586,044x = 1,203,156 × 1,203,156
  4. Step 4: Simplify right side
    586,044x = 1,447,584,360,336
  5. Step 5: Solve for x
    x = 1,447,584,360,336/586,044
  6. Step 6: Final answer
    x = 2,470,095.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.