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Finding the Third Proportional to 439,083 and 912,618

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Solution

The third proportional to 439,083 and 912,618 is: 1,896,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,083 : 912,618 = 912,618 : x
  2. Step 2: Convert to fraction form
    439,083/912,618 = 912,618/x
  3. Step 3: Cross multiply
    439,083x = 912,618 × 912,618
  4. Step 4: Simplify right side
    439,083x = 832,871,613,924
  5. Step 5: Solve for x
    x = 832,871,613,924/439,083
  6. Step 6: Final answer
    x = 1,896,843.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.