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Finding the Third Proportional to 607,059 and 912,159

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Solution

The third proportional to 607,059 and 912,159 is: 1,370,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,059 : 912,159 = 912,159 : x
  2. Step 2: Convert to fraction form
    607,059/912,159 = 912,159/x
  3. Step 3: Cross multiply
    607,059x = 912,159 × 912,159
  4. Step 4: Simplify right side
    607,059x = 832,034,041,281
  5. Step 5: Solve for x
    x = 832,034,041,281/607,059
  6. Step 6: Final answer
    x = 1,370,598.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.