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Finding the Third Proportional to 1,570,065 and 2,490,206

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Solution

The third proportional to 1,570,065 and 2,490,206 is: 3,949,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,065 : 2,490,206 = 2,490,206 : x
  2. Step 2: Convert to fraction form
    1,570,065/2,490,206 = 2,490,206/x
  3. Step 3: Cross multiply
    1,570,065x = 2,490,206 × 2,490,206
  4. Step 4: Simplify right side
    1,570,065x = 6,201,125,922,436
  5. Step 5: Solve for x
    x = 6,201,125,922,436/1,570,065
  6. Step 6: Final answer
    x = 3,949,598.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.