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Finding the Third Proportional to 626,434 and 1,341,428

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Solution

The third proportional to 626,434 and 1,341,428 is: 2,872,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,434 : 1,341,428 = 1,341,428 : x
  2. Step 2: Convert to fraction form
    626,434/1,341,428 = 1,341,428/x
  3. Step 3: Cross multiply
    626,434x = 1,341,428 × 1,341,428
  4. Step 4: Simplify right side
    626,434x = 1,799,429,079,184
  5. Step 5: Solve for x
    x = 1,799,429,079,184/626,434
  6. Step 6: Final answer
    x = 2,872,495.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.