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Finding the Third Proportional to 700,492 and 1,109,382

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Solution

The third proportional to 700,492 and 1,109,382 is: 1,756,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,492 : 1,109,382 = 1,109,382 : x
  2. Step 2: Convert to fraction form
    700,492/1,109,382 = 1,109,382/x
  3. Step 3: Cross multiply
    700,492x = 1,109,382 × 1,109,382
  4. Step 4: Simplify right side
    700,492x = 1,230,728,421,924
  5. Step 5: Solve for x
    x = 1,230,728,421,924/700,492
  6. Step 6: Final answer
    x = 1,756,948.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.