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Finding the Third Proportional to 698,124 and 1,506,072

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Solution

The third proportional to 698,124 and 1,506,072 is: 3,249,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,124 : 1,506,072 = 1,506,072 : x
  2. Step 2: Convert to fraction form
    698,124/1,506,072 = 1,506,072/x
  3. Step 3: Cross multiply
    698,124x = 1,506,072 × 1,506,072
  4. Step 4: Simplify right side
    698,124x = 2,268,252,869,184
  5. Step 5: Solve for x
    x = 2,268,252,869,184/698,124
  6. Step 6: Final answer
    x = 3,249,068.75

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