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Finding the Third Proportional to 904,585 and 1,228,506

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Solution

The third proportional to 904,585 and 1,228,506 is: 1,668,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,585 : 1,228,506 = 1,228,506 : x
  2. Step 2: Convert to fraction form
    904,585/1,228,506 = 1,228,506/x
  3. Step 3: Cross multiply
    904,585x = 1,228,506 × 1,228,506
  4. Step 4: Simplify right side
    904,585x = 1,509,226,992,036
  5. Step 5: Solve for x
    x = 1,509,226,992,036/904,585
  6. Step 6: Final answer
    x = 1,668,419.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.