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Finding the Third Proportional to 1,067,347.64 and 1,650,897.23

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Solution

The third proportional to 1,067,347.64 and 1,650,897.23 is: 2,553,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,347.64 : 1,650,897.23 = 1,650,897.23 : x
  2. Step 2: Convert to fraction form
    1,067,347.64/1,650,897.23 = 1,650,897.23/x
  3. Step 3: Cross multiply
    1,067,347.64x = 1,650,897.23 × 1,650,897.23
  4. Step 4: Simplify right side
    1,067,347.64x = 2,725,461,678,467.02
  5. Step 5: Solve for x
    x = 2,725,461,678,467.02/1,067,347.64
  6. Step 6: Final answer
    x = 2,553,490.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.