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Finding the Third Proportional to 489,637 and 1,038,053

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Solution

The third proportional to 489,637 and 1,038,053 is: 2,200,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,637 : 1,038,053 = 1,038,053 : x
  2. Step 2: Convert to fraction form
    489,637/1,038,053 = 1,038,053/x
  3. Step 3: Cross multiply
    489,637x = 1,038,053 × 1,038,053
  4. Step 4: Simplify right side
    489,637x = 1,077,554,030,809
  5. Step 5: Solve for x
    x = 1,077,554,030,809/489,637
  6. Step 6: Final answer
    x = 2,200,720.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.