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Finding the Third Proportional to 697,710 and 1,506,948

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Solution

The third proportional to 697,710 and 1,506,948 is: 3,254,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,710 : 1,506,948 = 1,506,948 : x
  2. Step 2: Convert to fraction form
    697,710/1,506,948 = 1,506,948/x
  3. Step 3: Cross multiply
    697,710x = 1,506,948 × 1,506,948
  4. Step 4: Simplify right side
    697,710x = 2,270,892,274,704
  5. Step 5: Solve for x
    x = 2,270,892,274,704/697,710
  6. Step 6: Final answer
    x = 3,254,779.60

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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.