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Finding the Third Proportional to 720,242 and 1,547,236

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Solution

The third proportional to 720,242 and 1,547,236 is: 3,323,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,242 : 1,547,236 = 1,547,236 : x
  2. Step 2: Convert to fraction form
    720,242/1,547,236 = 1,547,236/x
  3. Step 3: Cross multiply
    720,242x = 1,547,236 × 1,547,236
  4. Step 4: Simplify right side
    720,242x = 2,393,939,239,696
  5. Step 5: Solve for x
    x = 2,393,939,239,696/720,242
  6. Step 6: Final answer
    x = 3,323,798.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.