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Finding the Third Proportional to 1,574,175 and 3,337,518

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Solution

The third proportional to 1,574,175 and 3,337,518 is: 7,076,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,175 : 3,337,518 = 3,337,518 : x
  2. Step 2: Convert to fraction form
    1,574,175/3,337,518 = 3,337,518/x
  3. Step 3: Cross multiply
    1,574,175x = 3,337,518 × 3,337,518
  4. Step 4: Simplify right side
    1,574,175x = 11,139,026,400,324
  5. Step 5: Solve for x
    x = 11,139,026,400,324/1,574,175
  6. Step 6: Final answer
    x = 7,076,104.25

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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.