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Finding the Third Proportional to 1,001,416 and 1,537,119

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Solution

The third proportional to 1,001,416 and 1,537,119 is: 2,359,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,416 : 1,537,119 = 1,537,119 : x
  2. Step 2: Convert to fraction form
    1,001,416/1,537,119 = 1,537,119/x
  3. Step 3: Cross multiply
    1,001,416x = 1,537,119 × 1,537,119
  4. Step 4: Simplify right side
    1,001,416x = 2,362,734,820,161
  5. Step 5: Solve for x
    x = 2,362,734,820,161/1,001,416
  6. Step 6: Final answer
    x = 2,359,393.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.