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Finding the Third Proportional to 4,590,918 and 6,746,409

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Solution

The third proportional to 4,590,918 and 6,746,409 is: 9,913,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,918 : 6,746,409 = 6,746,409 : x
  2. Step 2: Convert to fraction form
    4,590,918/6,746,409 = 6,746,409/x
  3. Step 3: Cross multiply
    4,590,918x = 6,746,409 × 6,746,409
  4. Step 4: Simplify right side
    4,590,918x = 45,514,034,395,281
  5. Step 5: Solve for x
    x = 45,514,034,395,281/4,590,918
  6. Step 6: Final answer
    x = 9,913,928.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.