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Finding the Third Proportional to 4,878,490 and 7,142,774

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Solution

The third proportional to 4,878,490 and 7,142,774 is: 10,457,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878,490 : 7,142,774 = 7,142,774 : x
  2. Step 2: Convert to fraction form
    4,878,490/7,142,774 = 7,142,774/x
  3. Step 3: Cross multiply
    4,878,490x = 7,142,774 × 7,142,774
  4. Step 4: Simplify right side
    4,878,490x = 51,019,220,415,076
  5. Step 5: Solve for x
    x = 51,019,220,415,076/4,878,490
  6. Step 6: Final answer
    x = 10,457,994.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.