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Finding the Third Proportional to 459,089 and 999,473

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Solution

The third proportional to 459,089 and 999,473 is: 2,175,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,089 : 999,473 = 999,473 : x
  2. Step 2: Convert to fraction form
    459,089/999,473 = 999,473/x
  3. Step 3: Cross multiply
    459,089x = 999,473 × 999,473
  4. Step 4: Simplify right side
    459,089x = 998,946,277,729
  5. Step 5: Solve for x
    x = 998,946,277,729/459,089
  6. Step 6: Final answer
    x = 2,175,931.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.