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Finding the Third Proportional to 645,930 and 1,390,572

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Solution

The third proportional to 645,930 and 1,390,572 is: 2,993,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,930 : 1,390,572 = 1,390,572 : x
  2. Step 2: Convert to fraction form
    645,930/1,390,572 = 1,390,572/x
  3. Step 3: Cross multiply
    645,930x = 1,390,572 × 1,390,572
  4. Step 4: Simplify right side
    645,930x = 1,933,690,487,184
  5. Step 5: Solve for x
    x = 1,933,690,487,184/645,930
  6. Step 6: Final answer
    x = 2,993,653.32

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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.