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Finding the Third Proportional to 451,332 and 973,196

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Solution

The third proportional to 451,332 and 973,196 is: 2,098,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,332 : 973,196 = 973,196 : x
  2. Step 2: Convert to fraction form
    451,332/973,196 = 973,196/x
  3. Step 3: Cross multiply
    451,332x = 973,196 × 973,196
  4. Step 4: Simplify right side
    451,332x = 947,110,454,416
  5. Step 5: Solve for x
    x = 947,110,454,416/451,332
  6. Step 6: Final answer
    x = 2,098,478.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.