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Finding the Third Proportional to 506,092,896 and 1,104,983,424

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Solution

The third proportional to 506,092,896 and 1,104,983,424 is: 2,412,577,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,092,896 : 1,104,983,424 = 1,104,983,424 : x
  2. Step 2: Convert to fraction form
    506,092,896/1,104,983,424 = 1,104,983,424/x
  3. Step 3: Cross multiply
    506,092,896x = 1,104,983,424 × 1,104,983,424
  4. Step 4: Simplify right side
    506,092,896x = 1,220,988,367,314,763,776
  5. Step 5: Solve for x
    x = 1,220,988,367,314,763,776/506,092,896
  6. Step 6: Final answer
    x = 2,412,577,566.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.