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Finding the Third Proportional to 595,506 and 1,298,084

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Solution

The third proportional to 595,506 and 1,298,084 is: 2,829,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,506 : 1,298,084 = 1,298,084 : x
  2. Step 2: Convert to fraction form
    595,506/1,298,084 = 1,298,084/x
  3. Step 3: Cross multiply
    595,506x = 1,298,084 × 1,298,084
  4. Step 4: Simplify right side
    595,506x = 1,685,022,071,056
  5. Step 5: Solve for x
    x = 1,685,022,071,056/595,506
  6. Step 6: Final answer
    x = 2,829,563.55

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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.