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Finding the Third Proportional to 607,146 and 1,306,140

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Solution

The third proportional to 607,146 and 1,306,140 is: 2,809,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,146 : 1,306,140 = 1,306,140 : x
  2. Step 2: Convert to fraction form
    607,146/1,306,140 = 1,306,140/x
  3. Step 3: Cross multiply
    607,146x = 1,306,140 × 1,306,140
  4. Step 4: Simplify right side
    607,146x = 1,706,001,699,600
  5. Step 5: Solve for x
    x = 1,706,001,699,600/607,146
  6. Step 6: Final answer
    x = 2,809,870.61

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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.