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Finding the Third Proportional to 613,490 and 1,256,726

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Solution

The third proportional to 613,490 and 1,256,726 is: 2,574,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,490 : 1,256,726 = 1,256,726 : x
  2. Step 2: Convert to fraction form
    613,490/1,256,726 = 1,256,726/x
  3. Step 3: Cross multiply
    613,490x = 1,256,726 × 1,256,726
  4. Step 4: Simplify right side
    613,490x = 1,579,360,239,076
  5. Step 5: Solve for x
    x = 1,579,360,239,076/613,490
  6. Step 6: Final answer
    x = 2,574,386.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.