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Finding the Third Proportional to 814,709 and 1,232,547

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Solution

The third proportional to 814,709 and 1,232,547 is: 1,864,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,709 : 1,232,547 = 1,232,547 : x
  2. Step 2: Convert to fraction form
    814,709/1,232,547 = 1,232,547/x
  3. Step 3: Cross multiply
    814,709x = 1,232,547 × 1,232,547
  4. Step 4: Simplify right side
    814,709x = 1,519,172,107,209
  5. Step 5: Solve for x
    x = 1,519,172,107,209/814,709
  6. Step 6: Final answer
    x = 1,864,680.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.