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Finding the Third Proportional to 781,506 and 1,702,980

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Solution

The third proportional to 781,506 and 1,702,980 is: 3,710,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,506 : 1,702,980 = 1,702,980 : x
  2. Step 2: Convert to fraction form
    781,506/1,702,980 = 1,702,980/x
  3. Step 3: Cross multiply
    781,506x = 1,702,980 × 1,702,980
  4. Step 4: Simplify right side
    781,506x = 2,900,140,880,400
  5. Step 5: Solve for x
    x = 2,900,140,880,400/781,506
  6. Step 6: Final answer
    x = 3,710,964.32

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