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Finding the Third Proportional to 676,043 and 1,370,754

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Solution

The third proportional to 676,043 and 1,370,754 is: 2,779,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,043 : 1,370,754 = 1,370,754 : x
  2. Step 2: Convert to fraction form
    676,043/1,370,754 = 1,370,754/x
  3. Step 3: Cross multiply
    676,043x = 1,370,754 × 1,370,754
  4. Step 4: Simplify right side
    676,043x = 1,878,966,528,516
  5. Step 5: Solve for x
    x = 1,878,966,528,516/676,043
  6. Step 6: Final answer
    x = 2,779,359.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.