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Finding the Third Proportional to 962,664 and 1,496,646

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Solution

The third proportional to 962,664 and 1,496,646 is: 2,326,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,664 : 1,496,646 = 1,496,646 : x
  2. Step 2: Convert to fraction form
    962,664/1,496,646 = 1,496,646/x
  3. Step 3: Cross multiply
    962,664x = 1,496,646 × 1,496,646
  4. Step 4: Simplify right side
    962,664x = 2,239,949,249,316
  5. Step 5: Solve for x
    x = 2,239,949,249,316/962,664
  6. Step 6: Final answer
    x = 2,326,823.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.