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Finding the Third Proportional to 1,032,658 and 2,249,039

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Solution

The third proportional to 1,032,658 and 2,249,039 is: 4,898,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,658 : 2,249,039 = 2,249,039 : x
  2. Step 2: Convert to fraction form
    1,032,658/2,249,039 = 2,249,039/x
  3. Step 3: Cross multiply
    1,032,658x = 2,249,039 × 2,249,039
  4. Step 4: Simplify right side
    1,032,658x = 5,058,176,423,521
  5. Step 5: Solve for x
    x = 5,058,176,423,521/1,032,658
  6. Step 6: Final answer
    x = 4,898,210.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.