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Finding the Third Proportional to 670,565 and 1,437,009

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Solution

The third proportional to 670,565 and 1,437,009 is: 3,079,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,565 : 1,437,009 = 1,437,009 : x
  2. Step 2: Convert to fraction form
    670,565/1,437,009 = 1,437,009/x
  3. Step 3: Cross multiply
    670,565x = 1,437,009 × 1,437,009
  4. Step 4: Simplify right side
    670,565x = 2,064,994,866,081
  5. Step 5: Solve for x
    x = 2,064,994,866,081/670,565
  6. Step 6: Final answer
    x = 3,079,485.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.