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Finding the Third Proportional to 253,854,392 and 569,833,840

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Solution

The third proportional to 253,854,392 and 569,833,840 is: 1,279,121,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,854,392 : 569,833,840 = 569,833,840 : x
  2. Step 2: Convert to fraction form
    253,854,392/569,833,840 = 569,833,840/x
  3. Step 3: Cross multiply
    253,854,392x = 569,833,840 × 569,833,840
  4. Step 4: Simplify right side
    253,854,392x = 324,710,605,209,145,600
  5. Step 5: Solve for x
    x = 324,710,605,209,145,600/253,854,392
  6. Step 6: Final answer
    x = 1,279,121,478.46

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.