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Finding the Third Proportional to 754,434 and 1,596,024

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Solution

The third proportional to 754,434 and 1,596,024 is: 3,376,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,434 : 1,596,024 = 1,596,024 : x
  2. Step 2: Convert to fraction form
    754,434/1,596,024 = 1,596,024/x
  3. Step 3: Cross multiply
    754,434x = 1,596,024 × 1,596,024
  4. Step 4: Simplify right side
    754,434x = 2,547,292,608,576
  5. Step 5: Solve for x
    x = 2,547,292,608,576/754,434
  6. Step 6: Final answer
    x = 3,376,428.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.