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Finding the Third Proportional to 1,478,969 and 3,107,365

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Solution

The third proportional to 1,478,969 and 3,107,365 is: 6,528,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,969 : 3,107,365 = 3,107,365 : x
  2. Step 2: Convert to fraction form
    1,478,969/3,107,365 = 3,107,365/x
  3. Step 3: Cross multiply
    1,478,969x = 3,107,365 × 3,107,365
  4. Step 4: Simplify right side
    1,478,969x = 9,655,717,243,225
  5. Step 5: Solve for x
    x = 9,655,717,243,225/1,478,969
  6. Step 6: Final answer
    x = 6,528,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.