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Finding the Third Proportional to 697,672 and 1,506,840

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Solution

The third proportional to 697,672 and 1,506,840 is: 3,254,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,672 : 1,506,840 = 1,506,840 : x
  2. Step 2: Convert to fraction form
    697,672/1,506,840 = 1,506,840/x
  3. Step 3: Cross multiply
    697,672x = 1,506,840 × 1,506,840
  4. Step 4: Simplify right side
    697,672x = 2,270,566,785,600
  5. Step 5: Solve for x
    x = 2,270,566,785,600/697,672
  6. Step 6: Final answer
    x = 3,254,490.34

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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.