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Finding the Third Proportional to 716,149 and 1,506,026

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Solution

The third proportional to 716,149 and 1,506,026 is: 3,167,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,149 : 1,506,026 = 1,506,026 : x
  2. Step 2: Convert to fraction form
    716,149/1,506,026 = 1,506,026/x
  3. Step 3: Cross multiply
    716,149x = 1,506,026 × 1,506,026
  4. Step 4: Simplify right side
    716,149x = 2,268,114,312,676
  5. Step 5: Solve for x
    x = 2,268,114,312,676/716,149
  6. Step 6: Final answer
    x = 3,167,098.35

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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.