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Finding the Third Proportional to 591,302 and 910,119

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Solution

The third proportional to 591,302 and 910,119 is: 1,400,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,302 : 910,119 = 910,119 : x
  2. Step 2: Convert to fraction form
    591,302/910,119 = 910,119/x
  3. Step 3: Cross multiply
    591,302x = 910,119 × 910,119
  4. Step 4: Simplify right side
    591,302x = 828,316,594,161
  5. Step 5: Solve for x
    x = 828,316,594,161/591,302
  6. Step 6: Final answer
    x = 1,400,835.10

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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.