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Finding the Third Proportional to 929,232 and 1,308,581

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Solution

The third proportional to 929,232 and 1,308,581 is: 1,842,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,232 : 1,308,581 = 1,308,581 : x
  2. Step 2: Convert to fraction form
    929,232/1,308,581 = 1,308,581/x
  3. Step 3: Cross multiply
    929,232x = 1,308,581 × 1,308,581
  4. Step 4: Simplify right side
    929,232x = 1,712,384,233,561
  5. Step 5: Solve for x
    x = 1,712,384,233,561/929,232
  6. Step 6: Final answer
    x = 1,842,795.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.