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Finding the Third Proportional to 1,293,814 and 1,852,646

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Solution

The third proportional to 1,293,814 and 1,852,646 is: 2,652,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,814 : 1,852,646 = 1,852,646 : x
  2. Step 2: Convert to fraction form
    1,293,814/1,852,646 = 1,852,646/x
  3. Step 3: Cross multiply
    1,293,814x = 1,852,646 × 1,852,646
  4. Step 4: Simplify right side
    1,293,814x = 3,432,297,201,316
  5. Step 5: Solve for x
    x = 3,432,297,201,316/1,293,814
  6. Step 6: Final answer
    x = 2,652,852.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.