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Finding the Third Proportional to 652,148 and 972,206

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Solution

The third proportional to 652,148 and 972,206 is: 1,449,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,148 : 972,206 = 972,206 : x
  2. Step 2: Convert to fraction form
    652,148/972,206 = 972,206/x
  3. Step 3: Cross multiply
    652,148x = 972,206 × 972,206
  4. Step 4: Simplify right side
    652,148x = 945,184,506,436
  5. Step 5: Solve for x
    x = 945,184,506,436/652,148
  6. Step 6: Final answer
    x = 1,449,340.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.