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Finding the Third Proportional to 710,564 and 1,471,240

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Solution

The third proportional to 710,564 and 1,471,240 is: 3,046,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,564 : 1,471,240 = 1,471,240 : x
  2. Step 2: Convert to fraction form
    710,564/1,471,240 = 1,471,240/x
  3. Step 3: Cross multiply
    710,564x = 1,471,240 × 1,471,240
  4. Step 4: Simplify right side
    710,564x = 2,164,547,137,600
  5. Step 5: Solve for x
    x = 2,164,547,137,600/710,564
  6. Step 6: Final answer
    x = 3,046,238.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.