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Finding the Third Proportional to 653,491 and 1,415,547

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Solution

The third proportional to 653,491 and 1,415,547 is: 3,066,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,491 : 1,415,547 = 1,415,547 : x
  2. Step 2: Convert to fraction form
    653,491/1,415,547 = 1,415,547/x
  3. Step 3: Cross multiply
    653,491x = 1,415,547 × 1,415,547
  4. Step 4: Simplify right side
    653,491x = 2,003,773,309,209
  5. Step 5: Solve for x
    x = 2,003,773,309,209/653,491
  6. Step 6: Final answer
    x = 3,066,259.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.