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Finding the Third Proportional to 620,947 and 972,017

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Solution

The third proportional to 620,947 and 972,017 is: 1,521,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,947 : 972,017 = 972,017 : x
  2. Step 2: Convert to fraction form
    620,947/972,017 = 972,017/x
  3. Step 3: Cross multiply
    620,947x = 972,017 × 972,017
  4. Step 4: Simplify right side
    620,947x = 944,817,048,289
  5. Step 5: Solve for x
    x = 944,817,048,289/620,947
  6. Step 6: Final answer
    x = 1,521,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.