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Finding the Third Proportional to 698,184 and 1,074,492

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Solution

The third proportional to 698,184 and 1,074,492 is: 1,653,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,184 : 1,074,492 = 1,074,492 : x
  2. Step 2: Convert to fraction form
    698,184/1,074,492 = 1,074,492/x
  3. Step 3: Cross multiply
    698,184x = 1,074,492 × 1,074,492
  4. Step 4: Simplify right side
    698,184x = 1,154,533,058,064
  5. Step 5: Solve for x
    x = 1,154,533,058,064/698,184
  6. Step 6: Final answer
    x = 1,653,622.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.