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Finding the Third Proportional to 586,496 and 1,370,211

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Solution

The third proportional to 586,496 and 1,370,211 is: 3,201,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,496 : 1,370,211 = 1,370,211 : x
  2. Step 2: Convert to fraction form
    586,496/1,370,211 = 1,370,211/x
  3. Step 3: Cross multiply
    586,496x = 1,370,211 × 1,370,211
  4. Step 4: Simplify right side
    586,496x = 1,877,478,184,521
  5. Step 5: Solve for x
    x = 1,877,478,184,521/586,496
  6. Step 6: Final answer
    x = 3,201,178.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.