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Finding the Third Proportional to 716,904 and 1,496,547

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Solution

The third proportional to 716,904 and 1,496,547 is: 3,124,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,904 : 1,496,547 = 1,496,547 : x
  2. Step 2: Convert to fraction form
    716,904/1,496,547 = 1,496,547/x
  3. Step 3: Cross multiply
    716,904x = 1,496,547 × 1,496,547
  4. Step 4: Simplify right side
    716,904x = 2,239,652,923,209
  5. Step 5: Solve for x
    x = 2,239,652,923,209/716,904
  6. Step 6: Final answer
    x = 3,124,062.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.