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Finding the Third Proportional to 410,507 and 896,670

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Solution

The third proportional to 410,507 and 896,670 is: 1,958,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,507 : 896,670 = 896,670 : x
  2. Step 2: Convert to fraction form
    410,507/896,670 = 896,670/x
  3. Step 3: Cross multiply
    410,507x = 896,670 × 896,670
  4. Step 4: Simplify right side
    410,507x = 804,017,088,900
  5. Step 5: Solve for x
    x = 804,017,088,900/410,507
  6. Step 6: Final answer
    x = 1,958,595.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.