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Finding the Third Proportional to 803,070 and 1,101,161

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Solution

The third proportional to 803,070 and 1,101,161 is: 1,509,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,070 : 1,101,161 = 1,101,161 : x
  2. Step 2: Convert to fraction form
    803,070/1,101,161 = 1,101,161/x
  3. Step 3: Cross multiply
    803,070x = 1,101,161 × 1,101,161
  4. Step 4: Simplify right side
    803,070x = 1,212,555,547,921
  5. Step 5: Solve for x
    x = 1,212,555,547,921/803,070
  6. Step 6: Final answer
    x = 1,509,900.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.