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Finding the Third Proportional to 4,701,748 and 6,496,746

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Solution

The third proportional to 4,701,748 and 6,496,746 is: 8,977,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701,748 : 6,496,746 = 6,496,746 : x
  2. Step 2: Convert to fraction form
    4,701,748/6,496,746 = 6,496,746/x
  3. Step 3: Cross multiply
    4,701,748x = 6,496,746 × 6,496,746
  4. Step 4: Simplify right side
    4,701,748x = 42,207,708,588,516
  5. Step 5: Solve for x
    x = 42,207,708,588,516/4,701,748
  6. Step 6: Final answer
    x = 8,977,024.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.