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Finding the Third Proportional to 503,579,469 and 1,083,686,430

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Solution

The third proportional to 503,579,469 and 1,083,686,430 is: 2,332,057,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,579,469 : 1,083,686,430 = 1,083,686,430 : x
  2. Step 2: Convert to fraction form
    503,579,469/1,083,686,430 = 1,083,686,430/x
  3. Step 3: Cross multiply
    503,579,469x = 1,083,686,430 × 1,083,686,430
  4. Step 4: Simplify right side
    503,579,469x = 1,174,376,278,566,145,024
  5. Step 5: Solve for x
    x = 1,174,376,278,566,145,024/503,579,469
  6. Step 6: Final answer
    x = 2,332,057,502.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.