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Finding the Third Proportional to 1,460,337 and 2,178,354

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Solution

The third proportional to 1,460,337 and 2,178,354 is: 3,249,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,337 : 2,178,354 = 2,178,354 : x
  2. Step 2: Convert to fraction form
    1,460,337/2,178,354 = 2,178,354/x
  3. Step 3: Cross multiply
    1,460,337x = 2,178,354 × 2,178,354
  4. Step 4: Simplify right side
    1,460,337x = 4,745,226,149,316
  5. Step 5: Solve for x
    x = 4,745,226,149,316/1,460,337
  6. Step 6: Final answer
    x = 3,249,404.86

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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.