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Finding the Third Proportional to 698,084 and 1,507,572

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Solution

The third proportional to 698,084 and 1,507,572 is: 3,255,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,084 : 1,507,572 = 1,507,572 : x
  2. Step 2: Convert to fraction form
    698,084/1,507,572 = 1,507,572/x
  3. Step 3: Cross multiply
    698,084x = 1,507,572 × 1,507,572
  4. Step 4: Simplify right side
    698,084x = 2,272,773,335,184
  5. Step 5: Solve for x
    x = 2,272,773,335,184/698,084
  6. Step 6: Final answer
    x = 3,255,730.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.