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Finding the Third Proportional to 910,116 and 1,225,197

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Solution

The third proportional to 910,116 and 1,225,197 is: 1,649,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,116 : 1,225,197 = 1,225,197 : x
  2. Step 2: Convert to fraction form
    910,116/1,225,197 = 1,225,197/x
  3. Step 3: Cross multiply
    910,116x = 1,225,197 × 1,225,197
  4. Step 4: Simplify right side
    910,116x = 1,501,107,688,809
  5. Step 5: Solve for x
    x = 1,501,107,688,809/910,116
  6. Step 6: Final answer
    x = 1,649,358.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.