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Finding the Third Proportional to 1,032,657 and 2,249,037

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Solution

The third proportional to 1,032,657 and 2,249,037 is: 4,898,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,657 : 2,249,037 = 2,249,037 : x
  2. Step 2: Convert to fraction form
    1,032,657/2,249,037 = 2,249,037/x
  3. Step 3: Cross multiply
    1,032,657x = 2,249,037 × 2,249,037
  4. Step 4: Simplify right side
    1,032,657x = 5,058,167,427,369
  5. Step 5: Solve for x
    x = 5,058,167,427,369/1,032,657
  6. Step 6: Final answer
    x = 4,898,206.69

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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.