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Finding the Third Proportional to 1,030,354.17 and 1,514,622.80

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Solution

The third proportional to 1,030,354.17 and 1,514,622.80 is: 2,226,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,354.17 : 1,514,622.80 = 1,514,622.80 : x
  2. Step 2: Convert to fraction form
    1,030,354.17/1,514,622.80 = 1,514,622.80/x
  3. Step 3: Cross multiply
    1,030,354.17x = 1,514,622.80 × 1,514,622.80
  4. Step 4: Simplify right side
    1,030,354.17x = 2,294,082,216,813.45
  5. Step 5: Solve for x
    x = 2,294,082,216,813.45/1,030,354.17
  6. Step 6: Final answer
    x = 2,226,498.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.