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Finding the Third Proportional to 645,462 and 995,409

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Solution

The third proportional to 645,462 and 995,409 is: 1,535,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,462 : 995,409 = 995,409 : x
  2. Step 2: Convert to fraction form
    645,462/995,409 = 995,409/x
  3. Step 3: Cross multiply
    645,462x = 995,409 × 995,409
  4. Step 4: Simplify right side
    645,462x = 990,839,077,281
  5. Step 5: Solve for x
    x = 990,839,077,281/645,462
  6. Step 6: Final answer
    x = 1,535,085.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.