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Finding the Third Proportional to 262,590,903 and 607,850,406

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Solution

The third proportional to 262,590,903 and 607,850,406 is: 1,407,063,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,590,903 : 607,850,406 = 607,850,406 : x
  2. Step 2: Convert to fraction form
    262,590,903/607,850,406 = 607,850,406/x
  3. Step 3: Cross multiply
    262,590,903x = 607,850,406 × 607,850,406
  4. Step 4: Simplify right side
    262,590,903x = 369,482,116,074,364,864
  5. Step 5: Solve for x
    x = 369,482,116,074,364,864/262,590,903
  6. Step 6: Final answer
    x = 1,407,063,656.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.