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Finding the Third Proportional to 1,430,810 and 3,032,206

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Solution

The third proportional to 1,430,810 and 3,032,206 is: 6,425,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,810 : 3,032,206 = 3,032,206 : x
  2. Step 2: Convert to fraction form
    1,430,810/3,032,206 = 3,032,206/x
  3. Step 3: Cross multiply
    1,430,810x = 3,032,206 × 3,032,206
  4. Step 4: Simplify right side
    1,430,810x = 9,194,273,226,436
  5. Step 5: Solve for x
    x = 9,194,273,226,436/1,430,810
  6. Step 6: Final answer
    x = 6,425,921.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.