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Finding the Third Proportional to 1,435,214 and 3,076,492

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Solution

The third proportional to 1,435,214 and 3,076,492 is: 6,594,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,214 : 3,076,492 = 3,076,492 : x
  2. Step 2: Convert to fraction form
    1,435,214/3,076,492 = 3,076,492/x
  3. Step 3: Cross multiply
    1,435,214x = 3,076,492 × 3,076,492
  4. Step 4: Simplify right side
    1,435,214x = 9,464,803,026,064
  5. Step 5: Solve for x
    x = 9,464,803,026,064/1,435,214
  6. Step 6: Final answer
    x = 6,594,698.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.