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Finding the Third Proportional to 440,430 and 938,547

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Solution

The third proportional to 440,430 and 938,547 is: 2,000,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,430 : 938,547 = 938,547 : x
  2. Step 2: Convert to fraction form
    440,430/938,547 = 938,547/x
  3. Step 3: Cross multiply
    440,430x = 938,547 × 938,547
  4. Step 4: Simplify right side
    440,430x = 880,870,471,209
  5. Step 5: Solve for x
    x = 880,870,471,209/440,430
  6. Step 6: Final answer
    x = 2,000,023.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.