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Finding the Third Proportional to 516,465 and 1,114,506

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Solution

The third proportional to 516,465 and 1,114,506 is: 2,405,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,465 : 1,114,506 = 1,114,506 : x
  2. Step 2: Convert to fraction form
    516,465/1,114,506 = 1,114,506/x
  3. Step 3: Cross multiply
    516,465x = 1,114,506 × 1,114,506
  4. Step 4: Simplify right side
    516,465x = 1,242,123,624,036
  5. Step 5: Solve for x
    x = 1,242,123,624,036/516,465
  6. Step 6: Final answer
    x = 2,405,048.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.