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Finding the Third Proportional to 747,239 and 1,600,776

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Solution

The third proportional to 747,239 and 1,600,776 is: 3,429,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,239 : 1,600,776 = 1,600,776 : x
  2. Step 2: Convert to fraction form
    747,239/1,600,776 = 1,600,776/x
  3. Step 3: Cross multiply
    747,239x = 1,600,776 × 1,600,776
  4. Step 4: Simplify right side
    747,239x = 2,562,483,802,176
  5. Step 5: Solve for x
    x = 2,562,483,802,176/747,239
  6. Step 6: Final answer
    x = 3,429,269.35

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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.