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Finding the Third Proportional to 2,045,952 and 4,778,688

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Solution

The third proportional to 2,045,952 and 4,778,688 is: 11,161,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,952 : 4,778,688 = 4,778,688 : x
  2. Step 2: Convert to fraction form
    2,045,952/4,778,688 = 4,778,688/x
  3. Step 3: Cross multiply
    2,045,952x = 4,778,688 × 4,778,688
  4. Step 4: Simplify right side
    2,045,952x = 22,835,859,001,344
  5. Step 5: Solve for x
    x = 22,835,859,001,344/2,045,952
  6. Step 6: Final answer
    x = 11,161,483.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.