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Finding the Third Proportional to 780,402 and 1,702,620

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Solution

The third proportional to 780,402 and 1,702,620 is: 3,714,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,402 : 1,702,620 = 1,702,620 : x
  2. Step 2: Convert to fraction form
    780,402/1,702,620 = 1,702,620/x
  3. Step 3: Cross multiply
    780,402x = 1,702,620 × 1,702,620
  4. Step 4: Simplify right side
    780,402x = 2,898,914,864,400
  5. Step 5: Solve for x
    x = 2,898,914,864,400/780,402
  6. Step 6: Final answer
    x = 3,714,643.05

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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.