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Finding the Third Proportional to 829,592 and 1,776,688

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Solution

The third proportional to 829,592 and 1,776,688 is: 3,805,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,592 : 1,776,688 = 1,776,688 : x
  2. Step 2: Convert to fraction form
    829,592/1,776,688 = 1,776,688/x
  3. Step 3: Cross multiply
    829,592x = 1,776,688 × 1,776,688
  4. Step 4: Simplify right side
    829,592x = 3,156,620,249,344
  5. Step 5: Solve for x
    x = 3,156,620,249,344/829,592
  6. Step 6: Final answer
    x = 3,805,027.35

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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.