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Finding the Third Proportional to 646,768 and 1,360,572

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Solution

The third proportional to 646,768 and 1,360,572 is: 2,862,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,768 : 1,360,572 = 1,360,572 : x
  2. Step 2: Convert to fraction form
    646,768/1,360,572 = 1,360,572/x
  3. Step 3: Cross multiply
    646,768x = 1,360,572 × 1,360,572
  4. Step 4: Simplify right side
    646,768x = 1,851,156,167,184
  5. Step 5: Solve for x
    x = 1,851,156,167,184/646,768
  6. Step 6: Final answer
    x = 2,862,164.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.