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Finding the Third Proportional to 484,312 and 990,008

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Solution

The third proportional to 484,312 and 990,008 is: 2,023,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,312 : 990,008 = 990,008 : x
  2. Step 2: Convert to fraction form
    484,312/990,008 = 990,008/x
  3. Step 3: Cross multiply
    484,312x = 990,008 × 990,008
  4. Step 4: Simplify right side
    484,312x = 980,115,840,064
  5. Step 5: Solve for x
    x = 980,115,840,064/484,312
  6. Step 6: Final answer
    x = 2,023,728.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.