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Finding the Third Proportional to 1,124,569.13 and 1,602,714.38

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Solution

The third proportional to 1,124,569.13 and 1,602,714.38 is: 2,284,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,569.13 : 1,602,714.38 = 1,602,714.38 : x
  2. Step 2: Convert to fraction form
    1,124,569.13/1,602,714.38 = 1,602,714.38/x
  3. Step 3: Cross multiply
    1,124,569.13x = 1,602,714.38 × 1,602,714.38
  4. Step 4: Simplify right side
    1,124,569.13x = 2,568,693,367,831.64
  5. Step 5: Solve for x
    x = 2,568,693,367,831.64/1,124,569.13
  6. Step 6: Final answer
    x = 2,284,157.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.