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Finding the Third Proportional to 602,607 and 910,071

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Solution

The third proportional to 602,607 and 910,071 is: 1,374,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,607 : 910,071 = 910,071 : x
  2. Step 2: Convert to fraction form
    602,607/910,071 = 910,071/x
  3. Step 3: Cross multiply
    602,607x = 910,071 × 910,071
  4. Step 4: Simplify right side
    602,607x = 828,229,225,041
  5. Step 5: Solve for x
    x = 828,229,225,041/602,607
  6. Step 6: Final answer
    x = 1,374,410.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.