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Finding the Third Proportional to 975,701 and 1,501,596

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Solution

The third proportional to 975,701 and 1,501,596 is: 2,310,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,701 : 1,501,596 = 1,501,596 : x
  2. Step 2: Convert to fraction form
    975,701/1,501,596 = 1,501,596/x
  3. Step 3: Cross multiply
    975,701x = 1,501,596 × 1,501,596
  4. Step 4: Simplify right side
    975,701x = 2,254,790,547,216
  5. Step 5: Solve for x
    x = 2,254,790,547,216/975,701
  6. Step 6: Final answer
    x = 2,310,944.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.