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Finding the Third Proportional to 958,095 and 1,502,968.50

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Solution

The third proportional to 958,095 and 1,502,968.50 is: 2,357,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,095 : 1,502,968.50 = 1,502,968.50 : x
  2. Step 2: Convert to fraction form
    958,095/1,502,968.50 = 1,502,968.50/x
  3. Step 3: Cross multiply
    958,095x = 1,502,968.50 × 1,502,968.50
  4. Step 4: Simplify right side
    958,095x = 2,258,914,311,992.25
  5. Step 5: Solve for x
    x = 2,258,914,311,992.25/958,095
  6. Step 6: Final answer
    x = 2,357,714.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.