Finding the Third Proportional to 684,942 and 1,074,433
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Solution
The third proportional to 684,942 and 1,074,433 is: 1,685,407.34
Step by Step Solution
- Step 1: Write the proportion equation
684,942 : 1,074,433 = 1,074,433 : x - Step 2: Convert to fraction form
684,942/1,074,433 = 1,074,433/x - Step 3: Cross multiply
684,942x = 1,074,433 × 1,074,433 - Step 4: Simplify right side
684,942x = 1,154,406,271,489 - Step 5: Solve for x
x = 1,154,406,271,489/684,942 - Step 6: Final answer
x = 1,685,407.34
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.