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Finding the Third Proportional to 923,454 and 1,387,854

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Solution

The third proportional to 923,454 and 1,387,854 is: 2,085,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,454 : 1,387,854 = 1,387,854 : x
  2. Step 2: Convert to fraction form
    923,454/1,387,854 = 1,387,854/x
  3. Step 3: Cross multiply
    923,454x = 1,387,854 × 1,387,854
  4. Step 4: Simplify right side
    923,454x = 1,926,138,725,316
  5. Step 5: Solve for x
    x = 1,926,138,725,316/923,454
  6. Step 6: Final answer
    x = 2,085,798.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.