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Finding the Third Proportional to 716,429 and 1,506,586

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Solution

The third proportional to 716,429 and 1,506,586 is: 3,168,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,429 : 1,506,586 = 1,506,586 : x
  2. Step 2: Convert to fraction form
    716,429/1,506,586 = 1,506,586/x
  3. Step 3: Cross multiply
    716,429x = 1,506,586 × 1,506,586
  4. Step 4: Simplify right side
    716,429x = 2,269,801,375,396
  5. Step 5: Solve for x
    x = 2,269,801,375,396/716,429
  6. Step 6: Final answer
    x = 3,168,215.38

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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.