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Finding the Third Proportional to 1,972,784 and 4,240,354

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Solution

The third proportional to 1,972,784 and 4,240,354 is: 9,114,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,784 : 4,240,354 = 4,240,354 : x
  2. Step 2: Convert to fraction form
    1,972,784/4,240,354 = 4,240,354/x
  3. Step 3: Cross multiply
    1,972,784x = 4,240,354 × 4,240,354
  4. Step 4: Simplify right side
    1,972,784x = 17,980,602,045,316
  5. Step 5: Solve for x
    x = 17,980,602,045,316/1,972,784
  6. Step 6: Final answer
    x = 9,114,328.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.