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Finding the Third Proportional to 2,102,004 and 4,596,612

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Solution

The third proportional to 2,102,004 and 4,596,612 is: 10,051,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,004 : 4,596,612 = 4,596,612 : x
  2. Step 2: Convert to fraction form
    2,102,004/4,596,612 = 4,596,612/x
  3. Step 3: Cross multiply
    2,102,004x = 4,596,612 × 4,596,612
  4. Step 4: Simplify right side
    2,102,004x = 21,128,841,878,544
  5. Step 5: Solve for x
    x = 21,128,841,878,544/2,102,004
  6. Step 6: Final answer
    x = 10,051,761.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.