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Finding the Third Proportional to 403,585 and 877,154

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Solution

The third proportional to 403,585 and 877,154 is: 1,906,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,585 : 877,154 = 877,154 : x
  2. Step 2: Convert to fraction form
    403,585/877,154 = 877,154/x
  3. Step 3: Cross multiply
    403,585x = 877,154 × 877,154
  4. Step 4: Simplify right side
    403,585x = 769,399,139,716
  5. Step 5: Solve for x
    x = 769,399,139,716/403,585
  6. Step 6: Final answer
    x = 1,906,411.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.