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Finding the Third Proportional to 999,518 and 1,535,369

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Solution

The third proportional to 999,518 and 1,535,369 is: 2,358,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,518 : 1,535,369 = 1,535,369 : x
  2. Step 2: Convert to fraction form
    999,518/1,535,369 = 1,535,369/x
  3. Step 3: Cross multiply
    999,518x = 1,535,369 × 1,535,369
  4. Step 4: Simplify right side
    999,518x = 2,357,357,966,161
  5. Step 5: Solve for x
    x = 2,357,357,966,161/999,518
  6. Step 6: Final answer
    x = 2,358,494.76

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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.