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Finding the Third Proportional to 610,656 and 1,302,466

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Solution

The third proportional to 610,656 and 1,302,466 is: 2,778,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,656 : 1,302,466 = 1,302,466 : x
  2. Step 2: Convert to fraction form
    610,656/1,302,466 = 1,302,466/x
  3. Step 3: Cross multiply
    610,656x = 1,302,466 × 1,302,466
  4. Step 4: Simplify right side
    610,656x = 1,696,417,681,156
  5. Step 5: Solve for x
    x = 1,696,417,681,156/610,656
  6. Step 6: Final answer
    x = 2,778,025.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.