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Finding the Third Proportional to 2,030,976 and 4,746,528

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Solution

The third proportional to 2,030,976 and 4,746,528 is: 11,092,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,976 : 4,746,528 = 4,746,528 : x
  2. Step 2: Convert to fraction form
    2,030,976/4,746,528 = 4,746,528/x
  3. Step 3: Cross multiply
    2,030,976x = 4,746,528 × 4,746,528
  4. Step 4: Simplify right side
    2,030,976x = 22,529,528,054,784
  5. Step 5: Solve for x
    x = 22,529,528,054,784/2,030,976
  6. Step 6: Final answer
    x = 11,092,956.32

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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.