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Finding the Third Proportional to 1,502,205 and 2,291,145

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Solution

The third proportional to 1,502,205 and 2,291,145 is: 3,494,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,205 : 2,291,145 = 2,291,145 : x
  2. Step 2: Convert to fraction form
    1,502,205/2,291,145 = 2,291,145/x
  3. Step 3: Cross multiply
    1,502,205x = 2,291,145 × 2,291,145
  4. Step 4: Simplify right side
    1,502,205x = 5,249,345,411,025
  5. Step 5: Solve for x
    x = 5,249,345,411,025/1,502,205
  6. Step 6: Final answer
    x = 3,494,426.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.