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Finding the Third Proportional to 716,147 and 1,506,022

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Solution

The third proportional to 716,147 and 1,506,022 is: 3,167,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,147 : 1,506,022 = 1,506,022 : x
  2. Step 2: Convert to fraction form
    716,147/1,506,022 = 1,506,022/x
  3. Step 3: Cross multiply
    716,147x = 1,506,022 × 1,506,022
  4. Step 4: Simplify right side
    716,147x = 2,268,102,264,484
  5. Step 5: Solve for x
    x = 2,268,102,264,484/716,147
  6. Step 6: Final answer
    x = 3,167,090.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.