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Finding the Third Proportional to 710,944 and 1,559,656

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Solution

The third proportional to 710,944 and 1,559,656 is: 3,421,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,944 : 1,559,656 = 1,559,656 : x
  2. Step 2: Convert to fraction form
    710,944/1,559,656 = 1,559,656/x
  3. Step 3: Cross multiply
    710,944x = 1,559,656 × 1,559,656
  4. Step 4: Simplify right side
    710,944x = 2,432,526,838,336
  5. Step 5: Solve for x
    x = 2,432,526,838,336/710,944
  6. Step 6: Final answer
    x = 3,421,544.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.