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Finding the Third Proportional to 610,653 and 1,302,461

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Solution

The third proportional to 610,653 and 1,302,461 is: 2,778,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,653 : 1,302,461 = 1,302,461 : x
  2. Step 2: Convert to fraction form
    610,653/1,302,461 = 1,302,461/x
  3. Step 3: Cross multiply
    610,653x = 1,302,461 × 1,302,461
  4. Step 4: Simplify right side
    610,653x = 1,696,404,656,521
  5. Step 5: Solve for x
    x = 1,696,404,656,521/610,653
  6. Step 6: Final answer
    x = 2,778,017.40

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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.