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Finding the Third Proportional to 610,902 and 1,316,574

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Solution

The third proportional to 610,902 and 1,316,574 is: 2,837,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,902 : 1,316,574 = 1,316,574 : x
  2. Step 2: Convert to fraction form
    610,902/1,316,574 = 1,316,574/x
  3. Step 3: Cross multiply
    610,902x = 1,316,574 × 1,316,574
  4. Step 4: Simplify right side
    610,902x = 1,733,367,097,476
  5. Step 5: Solve for x
    x = 1,733,367,097,476/610,902
  6. Step 6: Final answer
    x = 2,837,389.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.