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Finding the Third Proportional to 894,340 and 1,329,354

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Solution

The third proportional to 894,340 and 1,329,354 is: 1,975,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,340 : 1,329,354 = 1,329,354 : x
  2. Step 2: Convert to fraction form
    894,340/1,329,354 = 1,329,354/x
  3. Step 3: Cross multiply
    894,340x = 1,329,354 × 1,329,354
  4. Step 4: Simplify right side
    894,340x = 1,767,182,057,316
  5. Step 5: Solve for x
    x = 1,767,182,057,316/894,340
  6. Step 6: Final answer
    x = 1,975,962.23

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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.